CURRICULUM   VITAE

of

Natalia Chinchaladze

Permanent address

Home:

Tamarashvili block VIII, apartment 46, 0162, Tbilisi, Georgia

Mailing address

Office:

I.Vekua Institute of Applied Mathematics of Tbilisi State University 2, University St. 0186, Tbilisi, Georgia

 

Tel.:

(+99532) 2 54 59 95 (of.)

(+99532) 2 23 07 38 (h.)

 

E-mail:

natalia.chinchaladze@tsu.ge

chinchaladze@gmail.com

Last name: Chinchaladze

First name: Natalia

Date of  birth: October 30, 1974

Place of  birth: Tbilisi,  Georgia

EDUCATION

2003: Ph.D. (Candidate of Sci.) in Mechanics of Deformable Bodies, Iv. Javakhishvili Tbilisi State University. Thesis: "On Elastic Cusped Plate – Viscous Fluid Interaction Problems" (Advisor: Professor George Jaiani);

1997-2000: Post-graduate student of Tbilisi State University;

1.09-20.12.1999: Visitor Post-graduate Student of  Danish Centre of Applied Mathematics and Informatics (Faculty of  Fluid Dynamics, Technical University of Denmark, Lyngby, Denmark)

1996: Diploma in Mechanics (with honour), Iv. Javakhishvili Tbilisi State University;

1991-1996: Student of  Iv. Javakhishvili Tbilisi State University, Faculty of Mechanics and Mathematics.

LANGUAGES

Georgian (Native), Russian, English.

POSITIONS HELD AND ACADEMIC EXPERIENCE

May 2016 - present:

Associated Professor of Iv. Javakhishvili Tbilisi State University, Faculty of Exact and Natural Sciences , Department of Mathematics

May 1, 2012- present:

Deputy Director of I.Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University

March 2010 - 2016:

Assistant Professor of Iv. Javakhishvili Tbilisi State University, Faculty of Exact and Natural Sciences , Department of Mathematics

January 2011- April 30, 2012:

Researcher of I.Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University

August, 2007 - March, 2010:

Head of the laboratory of Mathematical problems of the mechanics of continua and related problems of the analysis of  I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University

January, 2007 –August, 2007:

Researcher of I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University

 

2006-2007

Teacher of  Mathematics, British-Georgian Academy

 

2003-December, 2006:

Senior Researcher of  I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University (VIAM TSU)

 

2004/2005; 2005/2006

 

Assistant Professor of Tbilisi State University of Economic Relations

2001-2002:

Teacher of Informatics of  ESM (European High School of Management)

 

1997-2003:

Junior Researcher of I. Vekua Institute of Applied Mathematics

PROJECTS/GRANTS/AWARDS

2016-2019:

Main Researcher  of the Grant of Shota Rustaveli Georgian National Science Foundation (Project #217596, Project Title: Construction and investigation of hierarchical models for thermoelastic piezoelectric structures)

2013-2015:

Main Researcher of the Grant of Shota Rustaveli Georgian National Science Foundation (SRNSF,  Project 30/28, Project Title: Modeling and calculating in practice widely-distributed structures with complicated geometry)

2012-2014:

Co-Director  of the Grant of SRNSF (D-13/18, Project Title: Development of analytical and numerical methods for calculating of cusped prismatic shells and beams)
2012-2013: Main Researcher of the SRNSF-CNR (Shota Rustaveli National Science Foundation – Consiglio Nazionale delle Ricerche) Grant #09/04

2012:

Individual Travel Grant. Rustaveli National Science Foundation (July 21-25, Antalya, Turkey)

2011:

Individual Travel Grant. Rustaveli National Science Foundation (July 1-4, Baku, Azerbaijan)

19.02.2010-19.11.2010

Georgian President Grant for Young Scientists, supported by Rustaveli National Science Foundation

2009:

Individual Travel Grant. Georgian National Science Foundation (July 13-18, London, UK)

2009:

I.Vekua Scholarship for Young Scientists (supported by Georgia National Science Foundation)

2008:

Honour to award for the best scientific paper selected by Ministry of Education and Science of Armenia, Tsakhkaddzor, Armenia (June 16-20)

2008:

Individual Travel Grant. Georgian National Science Foundation (May 13-18, Wojcieszyce, Poland)

2007:

Honour to award for the best scientific paper selected by Ministry of Education and Science of Georgia and Georgian National Science Foundation (27 April)

01.05.2007-30.04.2009:

Researcher of the Georgian-U.S. Bilateral Grants Program III GEP1-3339-TB-06, selected by Georgian Research & Development Foundation (http://www.grdf.ge) and Civilian Research and Development Foundation (http://www.crdf.ge)

02.02.2007-31.01.2009:

Researcher of the INTAS Proposal for South Caucasian Republics 2006 - Research Project “Some nonclassical problems for thin structures”

 

01.10.2006-30.09.2008:

Researcher of the Project GNSF/ST06/3-035, selected by the competition of Georgian National Science Foundation

 

01.02.2005–01.02.2006:

Georgian Travel Fellowship Program Follow-on Grant Application 2004 (GTFPF-11), supported by GRDF (Georgian Research & Development Foundation http://www.grdf.ge) and CRDF (Civilian Research & Development Foundation http://www.crdf.org ). Individual Grant

01.06.2005-31.12.2005:

Researcher of the project (1.01.80) selected by the competition of the research support program of the Georgian Ministry of Education and Sciences

 

01.10–30.11.2004:

Georgian Travel Fellowship Program-2004, supported by GRDF and CRDF (GTFP-11). Individual Grant

2000-2002:

Participant of NATO-Scientific Project  PST.CLG.976426/5437

http://www.viam.science.tsu.ge/others/ticmi/nato-project

1998–2000:

Scientific Grant for Georgian Universities of Georgian Ministry of Education

1998, 1999:

Soros Post-Graduate Students Grant

1995, 1996:

Soros Students Grant

FIELD OF RESEARCH

 Main activities:

Partial Differential Equations. Mathematical Modeling. Shell and Plate Theory, Cusped Plates and Shells. Solid-fluid Interaction Problems

VISITING POSITIONS, LECTURE COURSES AND ADDRESSES

2017:

Plenary Talk: "Cusped Prismatic Shell-Fluid Interaction Problems", VIII International Conference of the Georgian Mechanical Union, September 27-29, Tbilisi, Georgia

 

Talk: "Antiplane Strain (Shear) of Non-Homogeneous Prismatic Shell-Like Bodies", GAMM2017, March 6-10, Weimar, Germany

 

Talk: "On a Static Problem for the Two Layered Prismatic Shell-Like Composites", V Scientific Conference in Exact and Natural Sciences of I. Javakhishvili Tbilisi State University, January, Tbilisi, Georgia
2016:

Talk: "Antiplane shear of orthotropic non-homogeneous prismatic shells", VII International Joint Conference of the Georgian Mathematical Union & Georgian Mechanical Union: Continuum Mechanics and Related Problems of Analysis, September 5-9, Batumi, Georgia

 

Talk: "ANTIPLANE STRAIN (SHEAR) OF ORTHOTROPIC NON-HOMOGENEOUS PRISMATIC SHELL-LIKE BODIES", August 29 - September 2, SolMech40, Warsaw, Poland

 

Talk: "VEKUA’S DIMENSION REDUCTION METHOD FOR THE THIRD MODEL OF PRISMATIC SHELLS", IV Scientific Conference in Exact and Natural Sciences of I. Javakhishvili Tbilisi State University, January 26-28, Tbilisi, Georgia

2015:

Talk: "On some problems of  biofilms occupying thin prismatic domains", VI Annual meeting of the Georgian Mechanical Union: GEOMECH6, September 30-October 4, Tbilisi, Georgia

 

Talk "On calculation of some structures with complicated geometry, widely-distributed in practice", 29th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, April 22-24, Tbilisi, Georgia

 

Visited Istituto per le Applicazioni del Calcolo "Mauro Picone", Consiglio Nazionale delle Richerche (CNR) with the framework of the SRNSF-CNR grant 09/04, March 28-31, Rome, Italy

 

Talk: "On a mathematical problem of cusped double-layered plates", 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics, March 23-27, Lecce, Italy, 2015

 

Talk: "On an One problem of cusped double-layered plates", III Scientific Conference in Exact and Natural Sciences of I. Javakhishvili Tbilisi State University, February 2-7, Tbilisi, Georgia
2014:

Talk: "On some methods for calculating cusped prismatic shells ", V Annual meeting of the Georgian Mechanical Union: GEOMECH5, October 8-10, Tbilisi, Georgia

 

Talk: "On a Variational Problem for a Cusped Elastic Prismatic Shells in Case of the Third Model of Vekua’s Hierarchical Model", 39th SOLID MECHANICS CONFERENCE, September 1-5, Warsaw, Poland

 

Talk: "On a Mathematical Model of a Cusped Double-Layered Prismatic Shell", 10th AIMS Conference, July 7-11, Madrid, Spain

 

Talk “A boundary-transmission problem for two rectangularly leant elastic bars”. 28th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, April 22-24, Tbilisi, Georgia (co-speaker G. Jaiani)

 

Talk: "On Some Analytic Methods for Calculating of Cusped Prismatic Shells and Beams", 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics, March 10-14, Erlanger, Germany

 

Talk “On an one problem of the vibration of biofilms”. The Second Scientific Conference in Exact and Natural Sciences of I. Javakhishvili Tbilisi State University, January 29- February 3, Tbilisi, Georgia

2013:

Talk: "Some numerical methods for laminated prismatic shells in the zero-th approximations", IV Annual Meeting of the Georgian Mechanical Union, November 8-10, Kutaisi, Georgia

 

Talk: "Hierarchical models for biofilms occupying thin prismatic domains with a variable thickness", SECOND INTERNATIONAL CONFERENCE ON MODERN PROBLEMS IN APPLIED MATHEMATICS, September 4-7, Tbilisi, Georgia

Visited Istituto per le Applicazioni del Calcolo "Mauro Picone", Consiglio Nazionale delle Richerche (CNR) with the framework of the SRNSF-CNR grant 09/04, November, Rome, Italy

Talk: "On some analytical methods for calculating cusped prismatic shells ", IX International Conference of ISAAC, August 5-9, Krakow, Poland

 

Talk “Peculiarities of the Second Hierarchical Model of Cusped Prismatic Shells”. Workshopwithin the framework of SRNSF Project #D-13/18 “Development of analytical and numerical methods for calculating of cusped prismatic shells and beams” (June 6, Tbilisi, Georgia)

2012:

Talk “Harmonic vibration of a cusped plate in the zero approximation of Vekua's hierarchical models”, 38th Solid Mechanics Conference, August 27-31, Warsaw, Poland

 

Talk “On a some vibration of a cusped plane in the zero approximation of Vekua's hierarchical models”, Conference on Applied Analysis and Mathematical Biology, August 8-9, University of Delaware, Newark, USA

 

Talk “Direct and inverse elastic beams-fluid interaction problems”, Sixth International Conference "Inverse Problems: Modeling and Simulation", May 21-26, Antalya, Turkey

 

Talk “Harmonic vibration of a cusped plate in the zero approximation of Vekua’s hierarchical models”, 26th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, April 23-25, Tbilisi, Georgia

2011:

Talk “Cubature of the Solution of the Dirichlet Problem for Euler–Poisson–Darboux Equation in the Half-plane by Approximate Quasi-Interpolation”, II International Conference of the Georgian Mathematical Union, September 15-19, Batumi, Georgia

 

Talk “Vibration of Elastic Plates with Variable Thickness on a Basis of the Refined Theories”, 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 President Academician Nikoloz (Niko) Muskhelishvili, September 9-14, Tbilisi, Georgia

 

Talk “Cylindrical Vibration Problems for the Cusped Plates”, the IV Congress of the Turkic World Mathematical Society, July 1-3, Baku, Azerbaijan

 

Talk “Cubature of the Solution of the Deflections of the Thin Wedge-Shaped Shells by Approximate Quasi-Interpolation”, 25th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, April 20-24, Tbilisi, Georgia

2010:

Talk "Vibration Problems for Cusped Plates on a Basis of the Refined Theories", The First Annual Meeting of the Georgian Mechanical Union, December 20-22, Tbilisi, Georgian

 

Talk "On Some Cusped Solid-fluid Interaction Problems", Seminar guided by Dr. Flavia Lanzara Dipartamento di Matematica-Istituto "Guido Castellnuovo", Universitá degli Studi di Roma "La Sapienza", November 16, Rome, Italy

 

Visiting Professor, University of Rome “La Sapienza”, Department of Mathematics (host: Dr. F. Lanzara, November 15-21, Rome, Italy)

 

Talk "Incompressible Fluid-Cusped Plate Interaction Problem in Case of the Zero Approximation of I.Vekuas Hierarchical Models", First International Conference of Geor­gian Mathematical Union, September 12-19, Batumi, georgia

 

Talk "Big deflections of the cusped plate under the Combined Action of Uniform Transverse Load and Uniform Tension", International Scientific-Technical Conference “Civil Engineering Mecha­nics Actual Problems”, June 15-17, Georgian Technical University, Tbilisi, Georgia

 

Chair of the Contributed Session “PDEs and Applications” on Friday, 8th AIMS Conference, May 28, Dresden, Germany

 

Talk "Cylindrical Vibration of Cusped Reisner-Mindlin Plates", 8th AIMS Conference, May 25-28, Dresden, Germany

 

Address "Vibration of the Cusped Plates in Case of Big Deflections", 24th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, April 21-23, Tbilisi, Georgia

2009:

Talk "Cylindrical Bending of a Cusped Reisner-Mindlin Plates", 5th Congress of Mathematicians of Georgian, Georgian Mathematical Union, October 9-12, Batumi-Kutaisi, Georgia

 

Talk "On a Mathematical Model of a Cusped Plate with Big Deflections", 7th International ISAAC Congress, July 13-18, London, UK

 

Talk "Big Deflections of a Cusped Plates ", 23th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, April 22-24, Tbilisi, Georgia

 

Visiting Professor, University of Rome “Tor Vergata”, Department of Civil Engineering (host: Prof. Dr. P. Podio-Guidugli, January 21-27, Italy)

2008:

Talk “On a cylindrical vibration of a double-layer prismatic body”, International Conference on "Modern Problems in Applied Mathematics" Dedicated to the 90th Anniversary of  the Iv. Javakhishvili Tbilisi State University and 40th Anniversary of the I.Vekua Institute of Applied Mathematics, October 7-9, Tbilisi, Georgia

Visitor Professor, Ecole Supérieure d’Ingénieurs en Electronique et Eletrotechnique, within the framework of INTAS Project for South Caucasian Republics # 06-1000017-8886 (September 12-17, Paris, France)

Talk  (with co-authors) “Some Nonclassical Problems for Thin Structures”, Seminar (guided by Prof. J. Cagnol),  Department of Mechanics, University Leonard de Vinci, Paris, France, September 15, 2008

Address (poster) "On a system consisting of degenerate equations of second order", Fifth European Congress of Mathematics - 5ECM, July 13-17, Amsterdam, Netherlands

Talk “Interaction problem for thin media consisting of deformable solid and fluid parts in zero approximation of hierarchical models”, International Conference on Analysis, PDEs and Applications, June 30- July 3, Rome, Italy

Talk “Cylindrical bending of a cusped plate with big deflections”, South-Caucasian Summer School on Mathematical Modeling of Thin Structures, June 15-21, Tsakhkadzor, Armenia, under auspices of  INTAS

Talk “On two dimensional hierarchical models for thin media consisting of deformable solid and fluid parts” 7th Youth Symposium on Experimental Solid Mechanics, May 14-17,  Wojcieszyce, Poland, May

Address (with G. Jaiani) "On Solid-Fluid Interaction Hierarchical Models", 22th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, April 22-25, Tbilisi, Georgia)

2007:

Visitor Professor, University of Delaware, Department of Mathematics (September 12–October 12, USA, within the framework of  GRDF/CRDF Project Georgian-U.S. Bilateral Grants Program III, GEP1-3339-TB-06)

Talk “On a system consisting of equations of second and fourth orders”, 6th International ISAAC Congress, August 13-18, Ankara, Turkey

Talk: “Vibration of an elastic plate under the action of an incompressible fluid”, IUTAM Symposium On Relation of Shell, Plate, Beam, and 3D Models Dedicated to Centenary of Ilia Vekua, April 23-27, Tbilisi, Georgia

2006:

Talk (with G. Kapanadze) “On a One Inverse Problem of the Bending of a Plate with Variable Flexural-rigidity”. Enlarged Sessions of  I.Vekua Institute of Applied Mathematics of Tbilisi State University, April 22-27, Tbilisi, Georgia

2005:

Talk “Vibration of an Elastic Plate under Action of an Incompressible Fluid in Case of N=0 Approximation of I.Vekua’s Hierarchical Models”, 5th ISAAC Congress, July 25-30, University of Catania, Italy; http://www.math-isaac.org

Talk “Vibrations of the Elastic Plates with Variable Thickness Caused by the Action of a Fluid”. IV Congress of Georgian Mathematicians, November 14-16, Tbilisi, Georgia

2004:

Address (poster) “On a Some Type Integro-differential Equations”. 4th European Congress of Mathematics, June 27- July 2, Stockholm University, Stockholm, Sweden; http://www.math.kth.se/4ecm/

Visitor Professor, University of Delaware, Department of Mathematics (October 1–November 30, USA, within the framework of  GRDF/CRDF Travel Fellowship Program, supported by GRDF and CRDF, GTFP-11)

2002:

Talk “Cusped Elastic Plate-Incompressible Fluid Interaction. Harmonic Vibration”. ISAAC Conference on Complex Analysis, Differential Equations and Related Topics, organized by Russian Academy of Natural Sciences, International Society for Analysis its Applications and Computation (ISAAC); National Academy of Sciences of Armenia, and Yerevan State University, September 17-21, Yerevan, Armenia

Talk “Some Contact Problems for Cusped Plate-Fluid Interaction Models”. XXX Summer School "Advanced Problems in Mechanics", organized by Institute for Problems in Mechanical Engineering  of the Russian Academy of Sciences and Gesellschaft four Angewandte Mathematik und Mechanik, June 27 - July 6, St. Petersburg, Russia; http://www.eng.abdn.ac.uk/~apm2002

2001:

Talk “Cylindrical Bending of a Prismatic Shell with Two Cusped Edges”. Symposium on Differential Equations and Mathematical Physics  (DEMPh-01) dedicated by the 110 Birthday of Acad. N. Muskhelishvili, organized by Razmadze Mathematical Institute of Georgian Academy of Sciences, July, Tbilisi, Georgia; http://www.rmi.acnet.ge/DEMPh/demph2001/welcome.htm#mph

 

Talk “On a Cusped Plate-Fluid Interaction Problems”. III Congress of Georgian Mathematicians, October 11-13, Tbilisi, Georgia

 

Lecturer “On a Cusped Plate–Fluid Interaction Problem”. International Minisymposia on Mathematical Models for Elastic Cusped Plates and Bars,(25, 26 September, Tbilisi, Georgia, http://www.viam.science.edu.ge/others/ticmi/

1999:

Talk (with G. Chichua, G. Jaiani) "Some Contact Problems for Solid-Fluid Models". International Conference on Multifield Problems, October 6-8, Stuttgart, Germany

1998:

Talk “Fluid-Solid Interaction Problem”. International Symposium on Theory of Elasticity organized by Georgian Technical University,  Tbilisi, Georgia

 

Other Talks:

at the enlarged sessions of the seminar of I.Vekua Institute of Applied Mathematics of Tbilisi State University (1995, 1999, 2000, 2005, Tbilisi, Georgia);

at the International Minisymposia and International Workshops organized by Tbilisi International Centre of Mathematics and Informatics (1997, 1998, 1999, 2001, 2004, 2005, Tbilisi, Georgia; http://www.viam.science.tsu.ge/others/ticmi/);

at the seminars of I.Vekua Institute of Applied Mathematics of Tbilisi State University (2002, Tbilisi, Georgia);

OTHER ACTIVITIES

January 2012-present:

Vice Chair of the Georgian Mechanical Union

March 2006-2013:

Scientific Secretary of GMU (Georgian Mathematical Union)

2005-present:

Member of  ISAAC (International Society for Analysis, its Applications and Computation) http://www.math-isaac.org

2005-present:

Member of the Georgian National Committee of the International Union of Theoretical and Applied Mechanics (IUTAM)

2002- present:

Managing Editor of  Bulletin of TICMI (http://www.emis.de/journals/TICMI)

2002- present:

Managing Editor of  Lecture Notes of TICMI (http://www.emis.de/journals/TICMI)

2001- present:

Member of GMU

20-29.08.2001:

Participate in the Summer School "Simulation of Fluid and Structure Interaction", Prague, Czech Republic

1997- present:

Member of Tbilisi International Centre of Mathematics and Informatics

Scientific Secretary of the Organising Committee of the 26th Enlarged Sessions of the Seminar of VIAM, Co-chair of the Section of Mechanics of Continua, 23-25 April, 2012

Chairwoman of the Organizing Committee of Organising Committee of First Annual Conference of Georgian Mechanical Union, 15-17 December, 2011, Tbilisi, Georgia

Scientific Secretary of the Organising Committee of the International Conference “Continuum Mechanics And Related Problems Of Analysis” (to celebrate the 70th Anniversary of the Georgian National Academy of Sciences &  the 120th  birtday of its First President Academician Nikoloz (Niko) Muskhelishvili), September 9-14, 2011, Tbilisi, Georgia

Scientific Secretary of the Organising Committee of the 25th Enlarged Sessions of the Seminar of VIAM, Co-chair of the Section of Mechanics of Continua, 21-23 April, 2011

Vice-Chairwoman of the Organizing Committee of Organising Committee of First Annual Conference of Georgian Mechanical Union, 20-22 December, 2010, Tbilisi, Georgia

Scientific Secretary of the Organising Committee of First International Conference of the Georgian Mathematical Union, 12-19 September, 2010, Batumi, Georgia

Scientific Secretary of the Organising Committee of the Congress of the Georgian Mathematical Union, 9-12 October, 2009, Batumi-Kutaisi,

Scientific Secretary of the Organising Committee of the International Conference on "Modern Problems in Applied Mathematics" Dedicated to the 90th Anniversary of  the Iv. Javakhishvili Tbilisi State University and 40th Anniversary of the I.Vekua Institute of Applied Mathematics, October 7-9, 2008, Tbilisi, Georgia

Scientific Secretary of  the Local Organising Committee of IUTAM Symposium on Relation of Shell, Plate, Beam, and 3D Models (Dedicated to Centenary of Ilia Vekua, I. Vekua Institute of Applied Mathematics of  Iv. Javakhishvili Tbilisi State University, Monday, April 23 - Friday, April 27, 2007, http://www.viam.science.tsu.ge/others/ticmi/iutam/ga04-09.htm)

Member of the Local Organising Committee of  ISAAC Conference on "Analysis, Applications, and Computation" (Dedicated to Centenary of Ilia Vekua, I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, April 23 - 27, 2007, http://www.viam.science.tsu.ge/others/ticmi/vekua100/isaacconf.htm)

Scientific Secretary of  Iv. Javakhisvili Tbilisi State University Jubilee Committee of Centenary of Ilia Vekua

 

List of Selected Publications:

  1. On a vibration problem of antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies, Complex Variables and Elliptic Equations · August 2017, DOI: 10.1080/17476933.2017.1357704

  2. Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies Arch. Mech., 69, 4-5, pp. 1–12, Warszawa 2017 (with G. Jaiani)

  3. On Some Bending Problems of Prismatic Shell with the Thickness Vanishing at Infinity, Journal of Mathematics and System Science 7(3), 88-93, 2017, DOI: 10.17265/2159-5291/2017.03.002 (with M. Tutberidze)

  4. On one problem of a cusped elastic prismatic shells in case of the third model of Vekua's hierarchical model, Hacettepe University Bulletin of Natural Sciences and Engineering Series B: Mathematics and Statistics, 5(45)  2016, Doi: 10.15672/HJMS.20164516346

  5. On some dynamical problems of the antiplane strain (shear) of isotropic non-homogeneous prismatic shell-like bodies, Bulletin of  TICMI, vol.19, No. 2, 2015, pp. 55-65

  6. On Some Analytic Methods for Calculating of Cusped Prismatic Shells, PAMM, 14 (1), December 2014, Pages: 185–186, Article first published online: 22 DEC 2014, DOI: 10.1002/pamm.201410080

  7. Hierarchical Models for Biofilms Occupying Thin Prismatic Domains. Bulletin of  TICMI, 18 (2), 2014, 102-109

  8. On a cusped double-layered prismatic shell. Proceedings of I. Vekua Institute of Applied Mathematics, 64, 2014, 13-23

  9. Harmonic vibration of cusped plates in the N-th approximation of Vekua’s hierarchical models. Archives of Mechanics, 65 (5), 345–365 (2013)

  10. Harmonic vibration of prismatic shells in zero approximation of Vekua's hierarchical models, Applicable Analysis, 92 (11), pages 2275-2287, 2013 (with R. Gibert)

  11. Harmonic vibration of a cusped plates in the first approximation of Vekua's hierarchical models, Proceedings of I. Vekua Institute of Applied Mathematics, vol. 61-62, 2011-2012, pp. 33-45

  12. Harmonic vibration of prismatic shells in zero approximation of Vekua's hierarchical models, Applicable Analysis, DOI:10.1080/00036811.2012.731502 (with Robert Gilbert)

  13. Initial-boundary value problems for solid–fluid composite structures, ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK (ZAMP), 63, No. 4, 2012, pp. 625-653 (with Gilbert, R. P.; Jaiani, G.V.; Kharibegashvili, S.; Natroshvili, D.), access:  http://www.springerlink.com/content/43701x43k1757668/

  14. Cylindrical bending of cusped Reisner-Mindlin plates, Dynamical Systems and Differential Equations, DCDS Supplement 2011, Proceedings of the 8th AIMS International Conference (Dresden , Germany), 282 - 291

  15. Concentrated contact interactions in cuspidate prismatic shell-like bodies, Archive of Applied Mechanics, vol 81 (10), pp. 1487-1505, 2011 (with Jaiani G., Maistrenko, B., and Podio-Guidugli, P.)

  16. Cusped Elastic Beams under the Action of Stresses and Concentrated Forces. Applicable Analysis, Volume 89, No. 5, 757–774, 2010 (with Gilbert, R. P.; Jaiani, G.V.; Kharibegashvili, S.; Natroshvili, D.), access: http://www.tandf.co.uk/journals

  17. Big Diflections of the Cusped Plate under the Combined Action of Uniform Transverse Load an Uniform Tension. Proceedings of the International Scientific-Technical Conference (June 15-17, 2010, Tbilisi) “Civil Engineering Mecha­nics Actual Problems” in Scientific-Technical Journal “Building”, 2 (17), 2010, 214-218

  18. Cylindrical Bending of a Cusped Plate with Big Deflections, Journal of Mathematical Sciences, Springer, Volume 157, Number 1, 52-69, 2009, [Translated from Sovremennaya Matematika i Ee Prilozheniya] (with G. Jaiani) access: http://www.springerlink.com/

  19. Existence and uniqueness theorems for cusped prismatic shells in the N-th hierarchical model. Math. Methods Appl. Sci. 31 (2008), no. 11, 1345-1367 (with Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.)

  20. On two dimensional hierarchical models for thin media consisting of deformable solid and fluid parts. Extended Abstracts of the 7th Youth Symposium on Experimental Solid Mechanics, Wojcieszyce, Poland, May, 2008, pp. 14-17 (electronic journal, ISBN 978-83-7493-386-5)

  21. Cylindrical Bending of a Cusped Plate with Big Deflections, Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 51, Differential Equations and Their Applications, 2008 (in Russian, with G. Jaiani)

  22. Vibration of an elastic plate under the action of an incompressible fluid. Proceedings of the IUTAM Symposium on the Relations of Shell, plate, Beam, and 3D Models Dedicated to the Centenary of Ilia Vekua's Birth, held in Tbilisi, Georgia, April 23-27, 2007, Springer, 2008, 77-90 (Conference Proceedings Citation Index list: http://thomsonreuters.com/products_services/ science/science_products/a-z/conf_proceedings_citation_index?parentKey=433717,432529)

  23. Hierarchical Mathematical Models for Solid-Fluid interaction Problems, Materials of the International Conference on Non-classic Problems of Mechanics, Kutaisi, Georgia, 25-27 October, 2007, Vol. 2, 59-64, Kutaisi, 2007 (in Georgian, with G. Jaiani)

  24. Big Deflections of a Cusped Plate with the Flexural Rigidity as a Power Function, Transactions of the International Conference on Problems of Continuum Mechanics, Tbilisi, Georgia, 27-28 October, 2007, 11-13, Tbilisi, 2007 (with G. Jaiani)

  25. Vibration of an Elastic Plate under Action of an Incompressible Fluid in Case of N=0 Approximation of I.Vekua’s Hierarchical Models. Applicable Analysis, vol. 85, No.9, 2006, 1177-1187 (with R. Gilbert), for electronic version see: http://www.tandf.co.uk/journals

  26. On a One Inverse Problem of the Bending of a Plate with Variable Flexural-rigidity. Reports of the Seminar of  I.Vekua Institute of Applied Mathematics of Tbilisi State University, vol. 31 (2006), 22-26 (G. Kapanadze)

  27. On Big Deflections of Cusped Plates. Bull. TICMI, vol. 9 (2005), 6-13 (with G. Jaiani), for electronic version see: http://www.emis.de/journals/TICMI 

  28. Cylindrical Vibration of an Elastic Cusped Plate under Action of an Incompressible Fluid in Case of N=0 Approximation of I.Vekua’s Hierarchical Models. Complex Variables, vol. 50, No. 7-11 (2005), 479-496 (with R. Gilbert), for electronic version see: http://www.tandf.co.uk/journals

  29. On an Integro-Differential Equations with a Symmetric Kernel. Bull. TICMI, vol. 8 (2004), 32-36, for electronic version see: http://www.emis.de/journals/TICMI

  30. On a Fluid-Elastic Isotropic Cusped Plate Interaction Problem. Extended Summary of XXI International Congress of Theoretical and Applied Mechanics Warsaw, Poland, August 15-21, 2004 (electronic journal, http://fluid.ippt.gov.pl/ictam04/CD_ICTAM04/; ID 10215, Author Index FSM4S_10215)

  31. On a Cusped Elastic Solid-Incompressible Fluid Interaction Problem. Harmonic Vibration. Mechanics and Mechanical Engineering, Technical University of Lodz, vol. 6, No. 1 (2002), 5-29

  32. Vibration of the Plate with Two Cusped Edges. Proceedings of I.Vekua Institute of Applied Mathematics of Tbilisi State University, vol. 52 (2002), 30-48, for electronic version see: http://www.viam.science.tsu.ge/publish/proceed.html

  33. A Cusped Elastic Plate-Ideal Incompressible Fluid Interaction Problem. Reports of the Seminar of  I.Vekua Institute of Applied Mathematics of Tbilisi State University, vol. 28 (2002), 31-39, for electronic version see: http://www.viam.science.tsu.ge/reports.htm

  34. On a Vibration of an Isotropic Cusped Elastic Plates under Action of an Incompressible Fluid. Reports of the Seminar of  I.Vekua Institute of Applied Mathematics of Tbilisi State University, vol. 28 (2002), 52-60, for electronic version see: http:// www.viam.science.tsu.ge /reports.htm

  35. Some Contact Problems for Cusped Plate-Fluid Interaction Models. Proceeding of the XXX Summer School "Advanced Problems in Mechanics", 2002, 161-166.On a Cusped Elastic Solid-Fluid Interaction Problem. Applied Mathematics and Informatics, vol. 6, No.2 (2001), pp. 25-64 (Co-author: G. Jaiani)

  36. On Some Integro-differential Equations. Bulletin of TICMI, vol. 4 (2000), pp. 37-40  (for electronic version see web-site: http://www.emis.de/journals/TICMI)

  37. On the Vibration of an Elastic Cusped Plate. Reports of Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, vol. 14, No. 1 (1999), pp.10-17

  38. On a Cylindrical Bending of a plate with Two Cusped Edges Under Action of a Viscous Fluid. Bulletin of TICMI, vol. 3 (1999),  pp. 26-30, (for electronic version see web-site: http://www.emis.de/journals/TICMI) 

  39. On a Cylindrical Bending of a plate with Two Cusped Edges Under Action of an Ideal Fluid. Bulletin of TICMI (Tbilisi International Centre of Mathematics and Informatics), vol. 2 (1998), pp. 30-34  (for electronic version see web-site: http://www.emis.de/journals/TICMI), Co-author: G. Jaiani

  40. Cylindrical Bending of the Prismatic Shell with Two Sharp Edges in Case of a Strip. Reports of Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, vol. 10, No. 1 (1995), pp. 21-23

Textbook:

1.      Advance Mathematics, Part II: Differential Models for Chemistry, Biology and Life Sciences (co-author: G. Jaiani). Lecture Course, Tbilisi University Press, 2009 (access: http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm, in Georgian)

 

Monograph:

1.       On some Nonclassical Problems for Differential Equations and Their Applications to the Theory of Cusped Prismatic Shells. Lecture Notes of TICMI, v. 9, 2008  (access: http://www.viam.science.tsu.ge/others/ticmi/lnt/lecturen.htm )

Edited Books

1.      G. Jaiani. Advance Mathematics, Part I: Calculus for Chemistry, Biology and Life Sciences. Lecture Course, Tbilisi University Press, 2009 (access: http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm). Edited by N. Chinchaladze

2.      G. Jaiani. Mathematical Models of Mechanics of Continua, Tbilisi University Press, Tbilisi, 2004 (Textbook in Georgian). Reviewers: N. Skhirtladze, N. Chinchaladze