Summary

Education:
Graduated from the I. Javakhishvili Tbilisi State University for Mathematics and Mechanics, January 1968, Diploma of Honour in Mechanics.
Ph.D. (Candidate of Sci.) in Mechanics of Deformable Bodies, Razmadze Institute of Mathematics of Georgian Academy of Sciences, 1974. Thesis: "Some Problems for Prismatic Shells with Cusped Edge" (Advisor: Academician, Professor Ilya Vekua).
Dr. Hab. (Doctor of Sci.) in Differential Equations and Mathematical Physics, Razmadze Institute of Mathematics of Georgian Academy of Sciences, 1986. Thesis: "Boundary Value Problems for Linear Elliptic Equations with Order Degeneration and Their Applications" (Referees Professor V.A. Kondratiev, Professor A.I.Janushauskas, Professor E.I. Obolashvili).

Work Experience:
2012 – present: Head of Chair of Mechanics of the Faculty of Exact and Natural Sciences of I. Javakhishvili Tbilisi State University (TSU)
09.2009 – present: Full Professor of TSU
06.2018 – present: Director, I. Vekua Independent Scientific-Research Institute of Applied Mathematics of TSU
12.2006 – 06.2018: Director, I. Vekua Institute of Applied Mathematics of TSU
1994 – 2009 (August): Professor of TSU
1987 – 2006 (December): Deputy Director, I. Vekua Institute of Applied Mathematics of TSU
1989 – 1994: Main Research fellow of the Department of Partial Differential Equations (part-time position), I. Vekua Institute of Applied Mathematics of TSU Invited Professor of TSU
1981 – 1988, 1974 – 1978: Invited Dozent of TSU
1974 – 1987: Scientific Secretary, I. Vekua Institute of Applied Mathematics of TSU
1971 – 1973, 12.02 – 01.06.1968: Junior research fellow, I. Vekua Institute of Applied Mathematics of TSU
1971 – 1973: Invited Assistant of TSU
1968 – 1971: Post-graduate of TSU

PH.D. STUDENTS
Supervised the theses of 6 Ph.D students (G. Ziskarishvili (1995), I. Khomasuridze (1999), G.Chichua (1999), N. Gordeziani (2003), N. Chinchaladze (2003), M. Svanadze (2014)).

OTHER ACTIVITIES
2014 – present: Associated Editor of Applicable Analysis
2012 – present: Chairman of the Georgian National Committee of Theoretical and Applied Mechanics
2007 – present: Member of the International Association of Applied Mathematics and Mechanics [Gesellschaft Fuer Angewandte Mathematik und Mechanik (GAMM)]
2005 – present: Member of the Georgian Engineering Academy
2002 – present: Member of the EURASC; Fellow of the World Innovation Foundation
2000 – present: Member of the General Assembly (GA) of the International Union of Theoretical and Applied Mechanics (IUTAM)
Editor of Lecture Notes of Tbilisi International Centre of Mathematics and Informatics (TICMI)
1999 – present: Head of Department of Mathematics and Informatics of the Georgian Academy of Natural Sciences (GANS)
Reviewer, Mathematical Reviews
1998 – present: Member of the American Mathematical Society (AMS); Member of the International Society for Interaction of Mechanics and Mathematics (ISIMM)
1997 – present: Editor of the Bulletin of TICMI
1996 – present: Member of the Editorial Board of the International Journal "Applied Mathematics, Informatics, and Mechanics"
1995 – present: Chairman of the International Scientific Committee of the TICMI
1994 – present: Member (Academician) of the GANS
1991 – present: Member of the European Mathematical Society (EMS)
1975 – present: Member of the Editorial Board of Reports of Seminar of I. Vekua Institute of Applied Mathematics
1974 – present: Reviewer, Zentralblatt fuer Mathematik
1973 – present: Member of the Scientific Council of I. Vekua Institute of Applied Mathematicss
1968 – present: Member of the Georgian Mathematical Union (GMU)
2013: The Order of Honour
2012-2018: President of the Georgian Mechanical Union
2009 – 2017: Member of the Scientific Committee of the Division of Mathematics of the European Academy of Sciences (EURASC)
2006 – 2017: Hindawi Journal of Applied Mathematics, Associated Editor
1989 – 2013: Member of the Council of the GMU
2000 – 2011: Cochairman of the GNCTAM

Projects

• Construction and investigation of hierarchical models for thermoelastic piezoelectric structures (217596), 2016-2019.
• Modeling and calculating in practice widely-distributed structures with complicated geometry (30/28), 2013-2015.
• Development of analytical and numerical methods for calculating of cusped prismatic shells and beams (D-13/18), 2012-2014.
• Some classes of PDE and systems with applications to mechanics and biology (SRNSF-CNR 09/04/30), 2012-2014.
• Investigation of the problems of the theories of elasticity and thermoelasticity for solids with microstructure (GNFS/ST 08/3-388), 2009-2012.
• Non-classical problems of fluid-elastic cusped plate (beam) interaction (1-3339-TB-06), 2007-2009.
• Some nonclassical problems for thin structures (06-1000017-8886), 2007-2009.
• Construction and Investigation of Hierarchical Mathematical Models for Medium Consisting of Deformable Solid and Fluid Parts (GNSF/ST06/3-035), 2006-2008.
• Investigation of the mathematical models of cusped plates and bars (25/C/01CZ), 2001-2002.
• Mathematical Models for Elastic Cusped Plates and Bars (NATO PST.CLG.976426/5437), 2000-2002.

Talks

• On fluids in angular pipes and wedge-shaped canals, by George Jaiani (Speaker) at The Fourth International Conference "MODERN PROBLEMS IN APPLIED MATHEMATICS", Tbilisi, Georgia, 13-15 September, 2023.
• On Fluids in Angular Pipes, by George Jaiani (Speaker) at XIV Annual International Meeting of the Georgian Mechanical Union, Poti, Georgia, 29-31 August, 2023.
• I. Vekua Institute of Applied Mathematics of TSU - 55, by Natalia Chinchaladze (Speaker), George Jaiani at XIV Annual International Meeting of the Georgian Mechanical Union, Poti, Georgia, 29-31 August, 2023.
• ივანე ნიკურაძის ექსპერიმენტების შედეგებისა და კელდიშის სასაზღვრო ამოცანის მიმართების შესახებ , by George Jaiani (Speaker) at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 19-22 April, 2023.
• Mathematical Hierarchical Models for Fluids, by George Jaiani (Speaker) at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.
• Life and scientific activities of Ilia Vekua, by George Jaiani (Speaker) at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.
• GOVERNING EQUATIONS FOR CONTINUITY EQUATION IN THE CASE OF PRISMATIC SHELL-LIKE DOMAINS WITHIN THE FRAMEWORK OF HIERARCHICAL MODELS, by George Jaiani (Speaker) at XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University , Tbilisi, Georgia, 19-21 April, 2022.
• N-th Approximation of Hierarchical Models for Cusped Kelvin-Voigt Plates with Variable Thickness, by George Jaiani (Speaker) at 13th International ISAAC Congress, Ghent, Belgium, 02-06 August, 2021.
• TICMI – 25 , by George Jaiani (Speaker), Natalia Chinchaladze at The Fifth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, Tbilisi, Georgia, 16-18 June, 2021.
• Some comments concerning hierarchical models, by George Jaiani (Speaker), Natalia Chinchaladze at XXXV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 21-24 April, 2021.
• Differential Hierarchical Models for Piezoelectric Prismatic Cusped Shells and Bars, by George Jaiani (Speaker) at International Scientific Workshop Related Problems of Continuum Mechanics, Kutaisi, Georgia, from 31 October to 01 November, 2019.
• On Hierarchical Models for Shells, Plates and Bars Constructed by Vekua’s Method, by George Jaiani (Speaker) at X Annual meeting of the Georgian Mechanical Union , Telavi, Georgia, 26-28 September, 2019.
• On Hierarchical Models for Piezoelectric Bars, by George Jaiani (Speaker) at The Fourth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, Tbilisi, Georgia, 23-26 September, 2019.
• Piezoelectric Cusped Prismatic Shells, by George Jaiani (Speaker) at ADVANCED COURSES on Mathematical Models of Piezoelectric Solids and Related Problems , Tbilisi, Georgia, 23-26 September, 2019.
• Piezoelectric Viscoelastic Kelvin-Voigt Cusped Prismatic Shells with Voids, by George Jaiani (Speaker) at 13th International Conference on Advanced Computational Engineering and Experimenting , Athens, Greece, 01-05 July, 2019.
• On application of I. Vekua’s dimension reduction method to hierarchical models of elastic shells , by Natalia Chinchaladze (Speaker), George Jaiani at The Ninth Congress of Romanian Mathematicians, Galati, Romania, from 28 June to 03 July, 2019.
• On BVPs for Piezoelectric Transversely Isotropic Cusped Bars, by George Jaiani (Speaker) at XXXIII Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 23-25 April, 2019.
• Double-Layer Piezoelectric Cusped Prismatic Shells, by George Jaiani (Speaker) at IX Annual Meeting of the Georgian Mechanical Union, Kutaisi, Georgia, 11-12 October, 2018.
• Ilia Vekua Institute of Applied Mathematics of TSU – 50, by George Jaiani (Speaker) at The Third International Conference „Modern Problems in Applied Mathematics“, Tbilisi, Georgia, 19-21 September, 2018.
• Equations with Order Degeneracy and Application to Cusped Piezo-Electric Prismatic Shells, by George Jaiani (Speaker) at ICM2018, Rio de Janeiro, Brazil, from 31 July to 10 August, 2018.
• Hierarchical models for piezoelectric nonhomogeneous viscoelastic Kelvin-Voigt prismatic shells with voids, by George Jaiani (Speaker) at XXXII Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 18-20 April, 2018.
• Georgian Mechanics and Its Role in the Mathematical Educations, by George Jaiani (Speaker) at Symposium Mechanics in Germany and Georgia , Bremen, Germany, 19-18 January, 2018.
• Life and Activities of Professor David Gordeziani, by George Jaiani (Speaker) at 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, Tbilisi, Georgia, 06-09 December, 2017.
• Hierarchical Models for Micropolar Elastic Cusped Prismatic Shells, by George Jaiani (Speaker) at International Workshop “New developments in micropolar theory” , Berlin, Germany, 06-07 November, 2017.
• Life, Activities, and Scientific Heritage of Ilia Vekua, by George Jaiani (Speaker) at VIII Annual meeting of the Georgian Mechanical Union, Tbilisi, Georgia, 27-29 September, 2017.
• Hierarchical Models for Viscoelastic Kelvin-Voigt Prismatic Shells with Voids, by George Jaiani (Speaker) at ACEX2017, Vienna, Austria, 03-07 July, 2017.
• Life and Activities of Ilia Vekua, by George Jaiani (Speaker) at XXXI Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 19 April, 2017.
• On Elastic Multi-Layered Prismatic Structure, by George Jaiani (Speaker) at VII International Joint Conference of the Georgian Mathematical Union & the Georgian Mechanical Union , Batumi, Georgia, 05-09 September, 2016.
• On Cusped (tapered) Prismatic Shells, by George Jaiani (Speaker) at XXIV International Congress of Theoretical and Applied Mechanics - ICTAM2016, Montreal, Canada, 21-26 August, 2016.
• ANTIPLANE STRAIN (SHEAR) OF ORTHOTROPIC PRISMATIC SHELL-LIKE BODIES, by Natalia Chinchaladze (Speaker), George Jaiani at SolMech40, Warsaw, Poland, from 19 August to 02 September, 2016.
• Influence of different physical fields on setting boundary conditions for cusped prismatic bodies, by George Jaiani (Speaker) at XXX Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 20-22 April, 2016.
• Some results obtained and activities, by George Jaiani (Speaker) at VI Annual meeting of the Georgian Mechanical Union, Tbilisi, Georgia, from 29 September to 04 October, 2015.
• On Peculiarities of Setting Boundary Conditions for Cusped Shells, Plates, and Bars, by George Jaiani (Speaker) at II Advanced Courses in Applied Mathematics, Tbilisi, Georgia, 28-29 September, 2015.
• On Elastic Thin Structures with Complicated Geometry, by George Jaiani (Speaker) at Seminar of the Institute of Mechanics of the University of Berlin, Berlin, Germany, 07 July, 2015.
• Models of Perpendicularly Linked Two and Three Elastic Bars, by George Jaiani (Speaker) at 9th International Conference on Advanced Computational Engineering and Experimenting: ACEX2015, Munich, Germany, from 29 June to 02 July, 2015.
• A Construction and investigation of an equivalent single layer model for calculation of multilayer elastic isotropic structures, by George Jaiani (Speaker) at 29th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2015.
• On models of layered prismatic shells, by George Jaiani (Speaker) at V Annual meeting of the Georgian Mechanical Union, Tbilisi, Georgia, 08-10 October, 2014.
• On a Model of Layered prismatic Shells, by George Jaiani (Speaker) at 8th International Conference on Advanced Computational Engineering and Experimenting: ACEX2014 , Paris, France, from 30 June to 03 July, 2014.
• On a Version of Hierarchical Models of Layered Prismatic Shells, by George Jaiani (Speaker) at Seminar (Host Prof. J. Wolf), Institute of Mathematics, Humboldt University, Berlin, Germany, 14 June, 2014.
• A boundary-transmission problem for two rectangularly linked elastic bars, by Natalia Chinchaladze (Speaker), George Jaiani at 28th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2014.
• Hierarchical Models for Laminated Prismatic Shells, by George Jaiani (Speaker) at IV Annual Meeting of the Georgian Mechanical Union , Kutaisi, Georgia, 08-10 November, 2013.
• On Hierarchical Models of Prismatic Shells, by George Jaiani (Speaker) at Scientific Session Dedicated to the 110th Anniversary of Viktor Kupradze, Tbilisi, Georgia, 04 November, 2013.
• Elastic cusped rod, plate, prismatic and standard shell models, by George Jaiani (Speaker) at XXII AIDAA Conference, Naples, Italy, 09-12 September, 2013.
• Cusped shells, plates, and bars, by George Jaiani (Speaker) at Second International Conference "Modern Problems in Applied Mathematics" Dedicated to the 95th Anniversary of the I. Javakhishvili Tbilisi State University & 45th Anniversary of the I.Vekua Institute , Tbilisi, Georgia, 04-07 September, 2013.
• I. Vekua Institute of Applied Mathematics of TSU – 45, by George Jaiani (Speaker) at Second International Conference "Modern Problems in Applied Mathematics" Dedicated to the 95th Anniversary of the I. Javakhishvili Tbilisi State University & 45th Anniversary of the I.Vekua Institute , Tbilisi, Georgia, 04-07 September, 2013.
• Some Hierarchical Models of Elastic Cusped Prismatic Shells, by George Jaiani (Speaker) at AMiTaNS’13 - 5th Conference Application of Mathematics in Technical and Natural Sciences , Albena, Bulgaria, 24-29 June, 2013.
• On Hierarchical Models of Elastic Cusped Prismatic Shells, by George Jaiani (Speaker) at ICCS 17 - 17th International Conference on Composite Structures, Porto, Portugal, 17-23 June, 2013.
• Peculiarities of the Second Hierarchical Model of Cusped Prismatic Shells, by George Jaiani (Speaker) at Workshop within the framework of SRNSF Project #D-13/18 “Development of analytical and numerical methods for calculating of cusped prismatic shells and beams” , Tbilisi, Georgia, 06 June, 2013.
• Cusped Shell-like Structures, by George Jaiani (Speaker) at Oberseminar of Applied Mathematiks quided by Prof. D.Kröner, Freiburg, Germany, 07 May, 2013.
• Mixed Hierarchical Models of Elastic Prismatic Shells, by George Jaiani (Speaker) at 27th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2013.
• Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures, by George Jaiani (Speaker) at III Annual Meeting of the Georgian Mechanical Union , Tbilisi, Georgia, 19-21 December, 2012.
• Construction of Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures, by George Jaiani (Speaker) at Italian-Georgian Workshop within the framework of CNR-SRNSF joint project, Rome, Italy, 25 October, 2012.
• A Reissner-Mindlin Type Model of Plates of Variable Thickness, by George Jaiani (Speaker) at 26th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 23-25 April, 2012.
• Mathematical Models of Elastic Cusped Shells, Plates, and Rods, by George Jaiani (Speaker) at International Conference “CONTINUUM MECHANICS AND RELATED PROBLEMS OF ANALYSIS” Dedicated to the 70th Anniversary of the Georgian National Academy of Sciences & the 120th Birthday of its First Preside, Tbilisi, Georgia, 09-14 September, 2011.
• On Cusped Shell-like Structures, by George Jaiani (Speaker) at EUROMECH527, Wittenberg, Germany, 21-27 August, 2011.
• On Peculiarities of Two Models for Cusped Prismatic Shells, by George Jaiani (Speaker) at 25th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 20-24 April, 2011.
• On an Investigation of the Cusped Structures, by George Jaiani (Speaker) at The First Annual Meeting of the Georgian Mechanical Union, Tbilisi, Georgia, 20-22 December, 2010.
• On Concentrated Contact Interactions in Cusped Prismatic Shells, by George Jaiani (Speaker) at Seminar guided by F. Lanzara Dipartamento di Matematica-Istituto "Guido Castellnuovo", Rome, Italy, 10 November, 2010.
• Cusped plates under Action of concentrated bending moment and concentrated forces, by George Jaiani (Speaker) at International Conference “Informatik and Computer Technologies, Modelling, Control”, Dedicated to the 80th Anniversary of Acad. I.V. Prangishvili’s Birth, Tbilisi, Georgia, 01-04 November, 2010.
• Cusped Prismatic Shells and Beams, by George Jaiani (Speaker) at International Conference “Topical Problems of Continuum Mechanics”, Dilijan, Armenia, 04-08 October, 2010.
• Cusped Shells and Beams, by George Jaiani (Speaker) at First International Conference of Georgian Mathematical Union, Tbilisi, Georgia, 12-19 September, 2010.
• Partial Differential Equations in Thin Prismatic Domains, by George Jaiani (Speaker) at 24th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 21-23 April, 2010.
• On Concentrated Contact Interactions in Cusped Prismatic Shells, by George Jaiani (Speaker) at Seminar guided by Prof. P.E. Ricci, Dipartamento di Matematica-Istituto "Guido Castellnuovo", Rome, Italy, 11 November, 2009.
• Cusped Shells, Plates, and Beams, by George Jaiani (Speaker) at V Congress of Georgian Mathematicians , Batumi-Kutaisi, Georgia, 09-12 October, 2009.
• A Method of Fundamental Solutions Depending on the Argument, by George Jaiani (Speaker) at Advanced Courses on Methods of Effective and Explicit Solving of Boundary Value Problems, Tbilisi, Georgia, 06-08 October, 2009.
• BVPs for the Systems of Degenerate Second Order PDEs of Hierarchical Models of Cusped Prismatic Shells, by George Jaiani (Speaker) at International Symposium on Nonlinear PDEs and Applications, Catania, Italy, 22-25 June, 2009.
• Participation of I.Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University in EU Scientific Programmes, by George Jaiani (Speaker) at Stakeholders Conference "EU-EECA S&T Cooperation: The Way Forward", Athens, Greece, 16-17 June, 2009.
• On Some Classes of Special Functions, by George Jaiani (Speaker) at 4th Workshop on "Advanced Special Functions and Solution of PDEs", Sabaudia, Italy, 24-29 May, 2009.
• Equations with order Degeneration and Axially Symmetric Solutions of Elliptic Equations , by George Jaiani (Speaker) at 23th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 22-24 April, 2009.
• Some Nonclassical Problems for Cusped Prismatic Shells, by George Jaiani (Speaker) at Final Meeting within the framework of INTAS Project for South Caucasian Republics # 06-1000017-8886, Rome, Italy, 22-23 January, 2009.
• Partial differential equations in thin domains, by George Jaiani (Speaker) at International Conference on "Modern Problems in Applied Mathematics" Dedicated to the 90th Anniversary of the I. Javakhishvili Tbilisi State University and 40th Anniversary of the I. Vekua Institute , Tbilisi, Georgia, 07-09 October, 2008.
• Some Nonclassical Problems for Thin Structures, by George Jaiani (Speaker) at Seminar (guided by Prof. J.Cagnol), Department of Mechanics, Paris, France, 15 September, 2008.
• The Flamant and Carothers Type Problems for Cusped Prismatic Shells, by George Jaiani (Speaker) at 22th International Congress of Theoretical and Applied Mathematics - ICTAM2008, Adelaide, Australia, 24-28 August, 2008.
• On Existence Theorems for Cuspidal Prismatic Shell-like Bodies , by George Jaiani (Speaker) at Fifth European Congress of Mathematics - 5ECM , Amsterdam, Netherlands, 13-17 July, 2008. (poster)
• Existence and Uniqueness Theorems for Cusped Prismatic Shells in the N-thHirarchicalModel, by George Jaiani (Speaker) at Seminar "Partielle Differentialgleichungen" (guided by Prof. B.-W. Schulze), Institutfuer Mathematik, Potsdam, Germany, 09 July, 2008.
• Systems of Linear Partial Differential Equations in Cuspidal Prismatic Domains, by George Jaiani (Speaker) at International Conference on Analysis, PDEs and Applications , Rome, Italy, from 30 June to 03 July, 2008.
• On Mathematical Models of Cusped Beams, Plates, and Shells, by George Jaiani (Speaker) at South-Caucasian Summer School on Mathematical Modeling of Thin Structures , Tsakhkadzor, Armenia, 15-21 June, 2008.
• On a Class of Special Functions, by George Jaiani (Speaker) at 22th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 22-25 April, 2008.
• On Solid-Fluid Interaction Hierarchical Models, by George Jaiani (Speaker), Natalia Chinchaladze at 22th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 22-25 April, 2008.
• Elastic Cusped Beam, Plate, and Shell Models and Their Relation to Three-dimensional Linear Models, by George Jaiani (Speaker) at Analysis and PDE Seminar (guided by Prof. R.P. Gilbert), Delaware, USA, 08 October, 2007.
• On a System of Elliptic Partial Differential Equations with Order Degeneration, by George Jaiani (Speaker) at 6th International ISAAC Congress , Ankara, Turkey, 13-18 August, 2007.
• On a Nonlocal Boundary Value Problem for a System of Singular Differential Equations and Applications to Cusped Prismatic Shells, by George Jaiani (Speaker) at 6th International Congress on Industrial and Applied Mathematics ICIAM07 , Zurich, Switzerland, 16 July, 2007.
• Elastic Cusped Beam, Plate, and Shell Hierarchical Models and their Relation to the 3D Classical Linear Models, by George Jaiani (Speaker) at International Conference Dedicated to the Centenary of IliaVekua on Differential Equations, theory of Functions, and Applications, Novosibirsk, Russia, from 28 May to 02 June, 2007.
• Physical and Mathematical Moments and Analysis of Peculiarities of Setting of Boundary Conditions for Cusped Prismatic Shells and Beams, by George Jaiani (Speaker) at IUTAM Symposium On Relation of Shell, Plate, Beam, and 3D Models Dedicated to Centenary of Ilia Vekua, Tbilisi, Georgia, 23-27 April, 2007.
• On the Carothers’ Type Problem for a Cusped Prismatic Shell-like Body, by George Jaiani (Speaker) at Seminar guided by Prof. P. Podio-Guidugli, Dipartmento di Ingegneria, Universitá di Roma 2 “TorVergata, Rome, Italy, 08 May, 2006.
• Cusped Plates under Action of Concentrated Forces and Moments, by George Jaiani (Speaker) at IV Congress of Georgian Mathematicians, Tbilisi, Georgia, 14-16 November, 2005.
• On a Nonlocal Problem for a System of Singular Differential Equations Connected with Cusped Prismatic Shells, by George Jaiani (Speaker) at International Workshop on Degenerate Partial Differential Equations, Weighted Spaces, and Applications to Mechanics, Tbilisi, Georgia, 14-16 September, 2005.
• Bending of a Cusped Plate with Big Deflections, by George Jaiani (Speaker) at Seminar guided by Prof. P.E. Ricci, Dipartamento di Matematica-Istituto "Guido Castellnuovo", Rome, Italy, 11 November, 2004.
• On Elastic Cusped Prismatic Shells and Beams, by George Jaiani (Speaker) at Seminar guided by Prof. P. Podio-Guidugli, Dipartmento di Ingegneria, Rome, Italy, 29 October, 2004.
• On a System of Degenerate Elliptic Equations Related to Cusped Plates, by George Jaiani (Speaker) at Seminar guided by Prof. H.Begehr, FB Mathematik und Informatik, Berlin, Germany, 22 June, 2004.
• Tension-Compression Vibration of Cusped Plates within Vekua's Model, by George Jaiani (Speaker) at Seminar "Partielle Differentialgleichungen" (guided by Prof. B.-W. Schulze), Potsdam, Germany, 16 June, 2004.
• Cusped Beams, Plates, and Shells, by George Jaiani (Speaker) at Seminar "Partielle Differentialgleichungen" (guided by Prof. B.-W. Schulze), Potsdam, Germany, 21 April, 2004.
• On Some Boundary Value Problems for Cusped Plates and Beams, by George Jaiani (Speaker) at Seminar guided by Prof. P.E. Ricci, Dipartamento di Matematica-Istituto "Guido Castellnuovo", Rome, Italy, 17 October, 2002.
• Weighted BVPs and the theory of cusped elastic plates and beams, by George Jaiani (Speaker) at Seminar on Partial Differential Equations (Guided by Prof. J. Eisner), Prague, Czech Republic, 18 April, 2002.
• Static and Dynamical Problems for Cusped Elastic Beams, by George Jaiani (Speaker) at International ConferenceonMultifield problems, Stuttgart, Germany, 08-10 April, 2002.

Publications

• George Jaiani, Even Order Singular Elliptic Equations, Lecture Notes of TICMI, 24,1-191, Tbilisi University Street, 2023.
• George Jaiani, Hierarchical Models of Conduction of Heat in Continua Contained in Prismatic Shell-like Domains, Recent Approaches in the Theory of Plates and Plate-Like Structures pp 89–102, Springer, 2022.
• George Jaiani, Natalia Chinchaladze, A survey of results on cusped standard and prismatic shells, in particular plates, and bars and on the corresponding singular PDEs, Continuum Mechanics and Thermodynamics, Vol. 33, pages1171–1198, Springer, 2021.
• George Jaiani, Natalia Chinchaladze, Some comments on hierarchical models, Seminar of I. Vekua Institute of Applied Mathematics, REPORTS, v 47, 30-35, Tbilisi University Press, 2021.
• George Jaiani, David Natroshvili, Applications of Mathematics and Informatics in Natural Sciences and Engineering, AMINSE 2019, Springer Proceedings in Mathematics & Statistics, v. 334, Springer, 2020.
• George Jaiani, Functionally Graded Couette Flow in a Duct, Bulletin of TICMI, vol. 24, No. 2, pp. 75-82, Tbilisi University Press, 2020.
• George Jaiani, On BVPs for piezoelectric transversely isotropic cusped bars, Bulletin of TICMI, vol. 23, No. 1, pp. 35-66, Tbilisi University Press, 2019.
• George Jaiani, Mathematical Models of Mechanics of Continua (Second Edition), Tbilisi, 526 p. (in Georgian), Tbilisi University Press, 2018.
• George Jaiani, Gia Giorgadze, Giorgi Akhalaia, Nino Manjavidze, The impact of Bojarski's works on the theory of elliptic partial differential equations on the plane, Proceedings of I. Vekua Institute of Applied Mathematics, 68, 3-15, Tbilisi University Press, 2018.
• George Jaiani, David Natroshvili, Applications of Mathematics and Informatics in Natural Sciences and Engineering, AMINSE 2017, Springer Proceedings in Mathematics & Statistics, v. 276, Springer, 2018.
• George Jaiani, Lamara Bitsadze, Basic problems of thermoelasticity with microtemperatures for the half-space , Journal of Thermal Stresses, 41 (9), 1101-1114, Taylor and Francis Ltd., 2018.
• George Jaiani, Piezoelectric Viscoelastic Kelvin-Voigt Cusped Prismatic Shells, Lecture Notes of TICMI, 19, 83 p., Tbilisi University Press, 2018.
• Natalia Chinchaladze, George Jaiani, Antiplane strain (shear) of orthotropic nonhomogeneous prismatic shell-like bodies, Arch. Mech., Vol. 69, 4–5, pp. 305–316, IPPT PAN, 2017.
• George Jaiani, Hierarchical models for viscoelastic Kelvin-Voigt prismatic shells with voids, Bulletin of TICMI, 21 (1), 33-44, Tbilisi University Press, 2017.
• George Jaiani, Vekua type hierarchical models for prismatic shells with mixed conditions on face surfaces, Composite Structures,152, 226-238, Elsevier, 2016.
• George Jaiani, A Model of Layered Prismatic Shells, Continuum Mechanics and Thermodynamics, 28, 765-784, Springer, 2016.
• Lamara Bitsadze, George Jaiani, On basic problems for elastic prismatic shells with microtemperatures , ZAMM - Z. Angew. Math. Mech., 96 (9), 1082–1088, Wiley, 2016.
• George Jaiani, On micropolar elastic cusped prismatic shells, Transactions of A. Razmadze Mathematical Institute, 170, 376-384, Tbilisi University Press, 2016.
• George Jaiani, Antiplane Strain (Shear) of Isotropic Non-Homogeneous Prismatic Shell-Like Bodies, BULL. TICMI, 19 (2), 40-54, Tbilisi University Press, 2015.
• George Jaiani, A Boundary-Contact Problem for Two Rectangularly Linked Elastic Bars, BULL. TICMI, 18 (2), 82-101, Tbilisi University Press, 2014.
• George Jaiani, On a Model of Layered Prismatic Shells, Proceedings of I. Vekua Institute of Applied Mathematics, 63, 13-24, Tbilisi University Press, 2013.
• George Jaiani, Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures, ZAMM - Z. Angew. Math. Mech., 95 (1), 77-90, Wiley, 2013.
• George Jaiani, Hierarchical Models for Prismatic Shells with Mixed Conditions on Face Surfaces, Bull. TICMI, 17 (2), 24-48, Tbilisi University Press, 2013.
• Lamara Bitsadze, George Jaiani, Some Basic Boundary Value Problems of the Plane Thermoelasticity with Microtemperatures, Mathematical Methods in the Applied Sciences, 36 (8), 956–966, Wiley, 2013.
• Natalia Chinchaladze, Robert Gilbert, George Jaiani, Sergo Kharibegashvili, David Natroshvili, Initial-boundary value problems for solid–fluid composite structures, Zeitschrift für angewandte Mathematik und Physik volume 63, pages625–653, Springer, 2012.
• George Jaiani, Zero Order Approximation of Hierarchical Models for Elastic Prismatic Shells with Microtemperatures, Bulletin of TICMI, 16 (2), 66-73, Tbilisi University Press, 2012.
• Lamara Bitsadze, George Jaiani, Theorems for the Third and Fourth BVPs of 2D Theory of Termoelastisty with Microtemperatures, Mechanics of The Continuous Environment Issues, 99-118, Nova Science Publisher, 2012.
• George Jaiani, A Kirchoff-Love Plate of Variable Flexural Rigidity under the Action of Concentrated Loads, Information and Computer Technologies - Theory and Practice, Ed. I. Gorgidze, Nova Science Publishers, Inc., 591-595, Nova Science Publisher, 2012.
• Lamara Bitsadze, George Jaiani, Explicit solutions of BVPs of 2D theory of termoelasticity with micritemperatures for the half-plane, Proceedings of I. Vekua Institute of Applied Mathematics Volume 61-62, 1-13, Tbilisi University Press, 2012.
• George Jaiani, On Cusped Shell-like Structures, Shell-like Structures: Non-classical Theories Applications in Advanced Structured Materials. Ed.: H. Altenbach and V. Eremeyev, 63-74, 2011, Springer, 2011.
• George Jaiani, Cusped Shell-like Structures, SpringerBriefs in Applied Science and Technology, Springer-Heidelberg-Dordrecht-London-New York, 84 p., Springer, 2011.
• George Jaiani, A Remark concerning peculiarities of two models of cusped prismatic shells, Reports of Seminar of I. Vekua Institute of Applied Mathematics, vol. 36-37, pp. 66-79 2010-2011, Tbilisi University Press, 2011.
• George Jaiani, Systems of linear partial differential equations in thin prismatic domains, Reports of Seminar of I. Vekua Institute of Applied Mathematics, vol. 36-37, pp. 1-4, 2010-2011, Tbilisi University Press, 2011.
• Natalia Chinchaladze, George Jaiani, Boris Maistrenko, Paolo Podio-Guidugli, Concentrated contact interactions in cuspidate prismatic shell-like bodies, Archive of Applied Mechanics 81(10):1487-1505, Springer, 2011.
• Mikheil Basheleishvili, Lamara Bitsadze, George Jaiani, On fundamental and singular solutions of the system of equations of the equilibrium of the plane thermoelasticity theory with microtemperatures, Bull. TICMI, 15, 5-12, Tbilisi University Press, 2011.
• George Jaiani, Hierarchical Models for Bi-modular Prismatic Rods, Proceedings of the International Scientific-Technical Conference (June 15-17, 2010, Tbilisi) “Civil Engineering Mecha-nics Actual Problems” in Scientific-Technical Journal “Building”, 2 (17), 208-210, Georgian Technical University, 2010.
• George Jaiani, Cusped Prismatic Shells and Beams, Proceedings of the International Conference (October 4-8, 2010, Dilijan, Armenia) “Topical Problems of Continuum Mechanics”, 2, 286-290, National Academy of Sciences - Armenia, 2010.
• Natalia Chinchaladze, Robert Gilbert, George Jaiani, Sergo Kharibegashvili, David Natroshvili, Cusped Elastic Beams under the Action of Stresses and Concentrated Forces, Applicable Analysis, Volume 89, No. 5, 757–774, Taylor and Francis Ltd., 2010.
• George Jaiani, Equations with Order Degeneration and Axially Symmetric Solutions of Elliptic Equations, Reports of the Seminar of I.Vekua Institute of Applied Mathematics, 35, 56-59, Tbilisi University Press, 2009.
• Natalia Chinchaladze, George Jaiani, Cylindrical bending of a cusped plate with big deflections, Journal of Mathematical Sciences, Volume 157, Number 1, 52-69 , Springer, 2009.
• George Jaiani, On a Class of Special Functions, Reports of Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, 22, 41-45, Tbilisi University Press, 2008.
• Natalia Chinchaladze, Robert Gilbert, George Jaiani, Sergo Kharibegashvili, David Natroshvili, Existence and Uniqueness Theorems for Cusped Prismatic Shells in the N-th Hierarchical Model, Mathematical Methods in Applied Sciences, Vol. 31, No. 11, 1345-1367, Wiley, 2008.
• George Jaiani, A Cusped Prismatic Shell-like Body under the Action of Concentrated Moments, ZAMP-Zeitschrift fuer Angewandte Mathematik und Physik, 59, 518-536, Springer, 2008.
• George Jaiani, On Physical and Mathematical Moments and the Setting of Boundary Conditions for Cusped Prismatic Shells and Beams, Proceedings of the IUTAM Symposium on Relation of Shell, Plate, Beam, and 3D Models Dedicated to Centenary of Ilia Vekua, 23-27 April, 2007, Tbilisi, Georgia. IUTAM Bookseries, 9, 133-146, Springer, 2008.
• George Jaiani, Nonlocal boundary value problem for a system of singular differential equations and applications to cusped prismatic shells, PAMM, 7(1), Pages 2090011-2090012, Wiley, 2008.
• George Jaiani, Paolo Podio-Guidugli, IUTAM Symposium on Relations of Shell Plate Beam and 3D Models, IUTAM Bookseries, vol. 9, Springer, 2008.
• George Jaiani, On a Nonlocal Boundary Value problem for a System of Singular Differential Equations, Applicable Analysis: An International Journal, 87 (1), 83 – 97, Taylor and Francis Ltd., 2008.
• George Jaiani, On Boundary Value Problems in Displacements for Hierarchical Models of Cusped Prismatic Shells and Beams, Materials of the International Conference on Non-classic Problems of Mechanics, Kutaisi, 1, 191-196, Kutaisi State University, 2007.
• George Jaiani, B.-Wolfgang Schulze, Some degenerate elliptic systems and applications to cusped plates, Mathematische Nachrichten, 280 (4), 388-407, Wiley, 2007.
• George Jaiani, A Cusped Kirchhoff-Love Plate Under the Action of Concentrated Loadings, Reports of Seminar of I. Vekua Institute of Applied Mathematics, 32-33, 1-4, 2006-2007, Tbilisi University Press, 2007.
• George Jaiani, A cusped Prismatic Shell-like Body with the Angular Projection under the Action of a Concentrated Force, Rendiconti Academia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicazioni, 124 0, Vol. XXX, facs. 1, 65-82, Academia Nazionale delle Scienze detta dei XL, 2006.
• George Jaiani, Alios Kufner, Oscillation of Cusped Euler-Bernoulli Beams and Kirchhoff-Love Plates, Hacettepe Journal of Mathematics and Statistics Volume 35 (1), 7 – 53, Hacettepe University, 2006.
• George Jaiani, On Some Classes of Special Functions, Proceedings of I.Vekua Institute of Applied Mathematics, 56-57, 1-20, 2006-2007, Tbilisi University Press, 2006.
• Jemal Antidze, George Jaiani, Tsitsino Gabeskiria, English-Georgian-Russian-German-French-Italian Glossary of Mathematical Terms, Lecture Notes of TICMI, vol.6, TSU, 2005 (Georgian, 230 pages), Tbilisi University Press, 2005.
• George Jaiani, Mathematical Models of Mechanics of Continua, Tbilisi, 526 p. (in Georgian), Tbilisi University Press, 2004.
• George Jaiani, Bending of a Cusped Plate on an Elastic Foundation, Bull. of TICMI, 8, 22-31, Tbilisi University Press, 2004.
• George Jaiani, B.-Wolfgang Schulze, Some Degenerate Elliptic Systems and Applications to Cusped Plates, Preprint 2004/27, Universitaet Potsdam, Institut fuer Mathematik, Potsdam, Universitaet Potsdam, 2004.
• George Jaiani, Sergo Kharibegashvili, David Natroshvili, Wendland, W.L., Two-dimensional Hierarchical Models for Prismatic Shells with Thickness Vanishing at the Boundary, Journal of Elasticity, 77 (2), 95-122, Springer, 2004.
• George Jaiani, Some Remarks Concerning Cusped Plates and Beams, Transactions of The Georgian Technical University, 1 (447), 44-48, Georgian Technical University, 2003.
• George Jaiani, Sergo Kharibegashvili, David Natroshvili, Wendland, W.L., Hierarchical Models for Elastic Cusped Plates and Beams, Lecture Notes of TICMI, 4, 121 p., Tbilisi University Press, 2003.
• George Jaiani, Alios Kufner, Oscillation of Cusped Euler-Bernulli Beams and Kirchhoff-Love Plates, Preprint 145, Academy of Sciences of the Czech Republic, Mathematical Institute, Prague, Academy of Sciences of the Czech Republic, 2002.
• George Jaiani, Theory of Cusped Euler-Bernoulli Beams and Kirchoff-Love Plates, Lecture Notes of TICMI, 3, 132 p., Tbilisi University Press, 2002.
• George Jaiani, Sergo Kharibegashvili, David Natroshvili, Wendland, W.L., Hierarchical Models for Cusped Plates, Preprint 2002/13, University of Stuttgart, Mathematical Institute A, Stuttgart, University of Stuttgart, 2002.
• George Jaiani, Static and Dynamical Problems for a Cusped Beam, Proceedings of I.Vekua Institute of Applied Mathematics of Tbilisi State University, 52, 1-29, Tbilisi University Press, 2002.
• George Jaiani, On the Relation of Hierarchical Models of Cusped Elastic Plates and Beams to the Three-dimensional Models, Reports of the Seminar of I.Vekua Institute of Applied Mathematics, 28, 40-51, Tbilisi University Press, 2002.
• George Jaiani, Application of Vekua's Dimension Reduction Method to Cusped Plates and Bars, Bull. TICMI 5, 27-34, Tbilisi University Press, 2001.
• George Jaiani, On a Mathematical Model of Bars with Variable Rectangular Cross-sections, ZAMM-Zeitschrift fuer Angewandte Mathematik und Mechanik, 81 (3), 147-173, Wiley, 2001.
• Natalia Chinchaladze, George Jaiani, On a cusped elastic solid-fluid interaction problem, AMIM, vol. 6, No. 2, 25-64, Tbilisi University Press, 2001.
• George Jaiani, Sergo Kharibegashvili, Dynamical Problems in the (0,0) and (1,0) Approximations of a Mathematical Model of Bars, In "Functional-Analytic and complex Methods, Interactions, and Applications to PDEs". Proceedings of the International Graz Workshop, Graz, Austria, 12-16 February, 188-248, World Scientific, 2001.
• George Jaiani, Sergo Kharibegashvili, On a Vibration of an Elastic Cusped Bar, Bull. of TICMI, 4, 24-28, Tbilisi University Press, 2000.
• Giorgi Devdariani, George Jaiani, Sergo Kharibegashvili, David Natroshvili, The First Boundary Value Problem for the System of Cusped Prismatic Shells in the First Approximation, Appl. Math. Inform., 5 (2), 26-46, Tbilisi University Press, 2000.