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ნატალია ჩინჩალაძე

  • დირექცია / დრეკადობის და გარსთა თეორიის განყოფილების
    დირექტორის მოადგილე / უფროსი მეცნიერი თანამშრომელი
  • ოფისი: ოთახი 118, უნივერსიტეტის ქ.11, 0186 თბილისი, საქართველო
  • ტელეფონი: +995591938233
  • ელ.ფოსტა: chinchaladze@gmail.com
  • სამეცნიერო ინტერესები: კერძოწარმოებულიანი დიფერენციარული განტოლებები, მათ. მოდელირება, გარსებისა და ფირფიტების თეორია, წამა

მოკლე ინფორმაცია

განათლება:
2003: მეცნიერებათა კანდიდატი, მყარი-დეფორმადი ტანის მექანიკა, ივ. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, თემა: "დრეკადი წამახვილებული ფირფიტებისა და არაკუმშვადი სითხეების ურთიერთქმედების ამოცანები" (ხელმძღვანელი: პროფ. გიორგი ჯაიანი);
1997-2000: თსუ-ს ასპირანტი;
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)

სამუშაო გამოცდილება:
30.03.2016- დღემდე ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ზუსტ და საბუნებისმეტყველობის ფაკულტეტი, ასოცირებული პროფესორი
01.05.2012- 28.02.2018 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, დირექტორის მოადგილე
10.03.2010- 30.03.2016 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ზუსტ და საბუნებისმეტყველობის ფაკულტეტი, ასისტენტ პროფესორი
20.08.2007-16.03.2010 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ზუსტ და საბუნებისმეტყველობის ფაკულტეტი, უწყვეტ გარემოთა მექანიკის და ანალიზის მონათესავე საკითხების ლაბორატორიის გამგე
01.01.2007- 20.08.2007 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, მკვლევარი
01.12.2003-01.12.2006 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, უფროსი მეცნიერ-თანამშრომელი
01.01.1997-01.12.2003 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, უმცროსი მეცნიერ-თანამშრომელი
02.09.1996-01.01.1997 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, ინჟინერი

სხვა აქტიურობები
2012 იანვარი-დღემდე: საქართველოს მექანიკოსთა კავშირის ვიცე-პრეზიდენტი
2006 (მარტი)-2013: საქართველოს მათემატიკოსთა კავშირის (სმკ) სწავლული მდივანი
2013-დღემდე: სმკ-ს სათათბიროს წევრი
2005-დღემდე: ISAAC (International Society for Analysis, its Applications and Computation)-ის წევრი
2005-დღემდე: თეორიულ და გამოყენებით მექანიკაში საქართველოს ეროვნული კომიტეტის წევრი
2002- დღემდე: Bulletin of TICMI (http://www.emis.de/journals/TICMI)-ს პასუხიმგებელი მდივანი
2002- დღემდე: Managing Editor of Lecture Notes of TICMI (http://www.emis.de/journals/TICMI)-ს პასუხიმგებელი მდივანი
2001- დღემდე: სმკ-ს წევრი
20-29.08.2001: Participate in the Summer School "Simulation of Fluid and Structure Interaction", Prague, Czech Republic
2000- დღემდე: მათემატიკასა და ინფორმატიკაში თბილისის საერთაშორისო კომიტეტის წევრი

მოხსენებები

  • Zero Approximation of Hierarchical Models for Fluids in Pipes of Angular Cross-Sections, by Natalia Chinchaladze (Speaker) at The Fourth International Conference "MODERN PROBLEMS IN APPLIED MATHEMATICS", 2023, Tbilisi, Georgia.
  • A DYNAMICAL PROBLEM OF ZERO APPROXIMATION OF HIERARCHICAL MODELS FOR FLUIDS, by Natalia Chinchaladze (Speaker) at XIV Annual International Meeting of the Georgian Mechanical Union, 2023, Poti, Georgia.
  • 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, 2023, Poti, Georgia.
  • MOTION OF VISCOUS FLUID IN PRISMATIC SHELL-LIKE DOMAINS IN CASE OF ZEROTH APPROXIMATION OF HIERARCHICAL MODELS, by Natalia Chinchaladze (Speaker) at XIII Annual International Meeting of the Georgian Mechanical Union, 2022, Batumi, Georgia.
  • On a problem in N=0 approximation of hierarchical models of incompressible fluid, by Natalia Chinchaladze (Speaker) at XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University , 2022, Tbilisi, Georgia.
  • TICMI – 25 , by George Jaiani (Speaker), Natalia Chinchaladze at The Fifth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, 2021, Tbilisi, Georgia.
  • 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, 2021, Tbilisi, Georgia.
  • On One Tension-compression Oscillation Problem of Hierarchical Model for Kelvin-Voigt Plates with Variable Thickness, by Natalia Chinchaladze (Speaker) at 13th ISAAC Congress, 2021, Ghent, Belgium.
  • ON A PROBLEM OF NON-HOMOGENEOUS PIEZOELECTRIC ELASTIC ROD WITH VARIABLE CONSTITUTIVE COEFFICIENTS, by Natalia Chinchaladze (Speaker), Archil Sakevarashvili at XII Annual International Meeting of the Georgian Mechanical Union, 2021, Kutaisi, Georgia.
  • ON SOME BOUNDARY PROBLEMS OF PIEZOELECTRIC TRANSVERSELY ISOTROPIC CUSPED BARS, by Natalia Chinchaladze (Speaker) at The Eight Annual Conference in Exact and Natural Sciences, 2020, Tbilisi, Georgia.
  • On some tension-compression dynamical problems in the zero approximation of hierarchical models for Kelvin-Voigt plates with variable thickness, by Natalia Chinchaladze (Speaker) at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, 2020, Tbilisi, Georgia.
  • On a Vibration Problem of the Transversely Isotropic Solids, by Natalia Chinchaladze (Speaker) at The Seventh Annual Conference in Exact and Natural Sciences, 2019, Tbilisi, Georgia.
  • On the variation formulation of BVPs for piezoelectric transversely isotropic cusped bars, by Natalia Chinchaladze (Speaker) at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), 2019, Tbilisi, Georgia.
  • 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, 2019, Galati, Romania.
  • Existence and Uniqueness Theorem for Cusped Kelvin-Voigt Elastic Plates in the Zero Approximation of the Hierarchical Models, by Natalia Chinchaladze (Speaker) at 12th International ISAAC Congress, 2019, Aveiro, Portugal.
  • On a dynamical problem of the transversely isotropic solids, by Natalia Chinchaladze (Speaker) at X Annual International Meeting of the Georgian Mechanical Union, 2019, Telavi, Georgia.
  • On a Problem for Viscoelastic Kelvin-Voigt Prismatic Shells, by Natalia Chinchaladze (Speaker) at The Sixth Annual Conference in Exact and Natural Sciences, 2018, Tbilisi, Georgia.
  • On a vibration problem of porous elastic prismatic shells, by Natalia Chinchaladze (Speaker) at XXXII Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, 2018, Tbilisi, Georgia.
  • Existence and Uniqueness Theorems for Cusped Porous Elastic Prismatic Shells in the Zero Approximation of the Hierarchical Models, by Natalia Chinchaladze (Speaker) at 41st SOLID MECHANICS CONFERENCE, 2018, Warsaw, Poland.
  • ON A VIBRATION PROBLEM FOR POROUS ELASTIC CUSPED PRISMATIC SHELLS, by Natalia Chinchaladze (Speaker) at IX Annual International Meeting of the Georgian Mechanical Union, 2018, Kutaisi, Georgia.
  • Antiplane Strain (Shear) of Non-Homogeneous Prismatic Shell-Like Bodies, by Natalia Chinchaladze (Speaker) at GAMM 2017, 2017, Weimar, Germany.
  • Cusped Prismatic Shell-Fluid Interaction Problems, by Natalia Chinchaladze (Speaker), Robert Gilbert at VIII International Conference of the Georgian Mechanical Union, 2017, Tbilisi, Georgia.
  • VEKUA’S DIMENSION REDUCTION METHOD FOR THE THIRD MODEL OF PRISMATIC SHELLS, by Natalia Chinchaladze (Speaker) at The Fourth Annual Conference in Exact and Natural Sciences, 2016, Tbilisi, Georgia.
  • Antiplane Shear of Orthotropic Non-Homogeneous Prismatic Shells, by Natalia Chinchaladze (Speaker) at VII INTERNATIONAL JOINT CONFERENCE OF THE GEORGIAN MATHEMATICAL UNION & THE GEORGIAN MECHANICAL UNION, 2016, Batumi, Georgia.
  • ANTIPLANE STRAIN (SHEAR) OF ORTHOTROPIC PRISMATIC SHELL-LIKE BODIES, by Natalia Chinchaladze (Speaker), George Jaiani at SolMech40, 2016, Warsaw, Poland.
  • On a problem of cusped double-layered prismatic shells , by Natalia Chinchaladze (Speaker) at The Third Annual Conference in Exact and Natural Sciences, 2015, Tbilisi, Georgia.
  • On a mathematical problem of cusped double-layered plates , by Natalia Chinchaladze (Speaker) at 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics, 2015, Lecce, Italy.
  • On some problems of biofilms occupying thin prismatic domains, by Natalia Chinchaladze (Speaker) at VI Annual meeting of the Georgian Mechanical Union, 2015, Tbilisi, Georgia.
  • 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, 2014, Tbilisi, Georgia.
  • On a Problem of Vibration of the Biofilm, by Natalia Chinchaladze (Speaker) at The Second Annual Conference in Exact and Natural Sciences, 2014, Tbilisi, Georgia.
  • On Some Analytic Methods for Calculating of Cusped Prismatic Shells and Beams, by Natalia Chinchaladze (Speaker) at 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics, 2014, Erlangen, Germany.
  • On a Mathematical Model of a Cusped Double-Layered Prismatic Shell, by Natalia Chinchaladze (Speaker) at The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications, 2014, Madrid, Spain.
  • On a Variational Problem for a Cusped Elastic Prismatic Shells in Case of the Third Model of Vekua’s Hierarchical Model, by Natalia Chinchaladze (Speaker) at 39th SOLID MECHANICS CONFERENCE, 2014, Zakopane, Poland.
  • On some methods for calculating cusped prismatic shells , by Natalia Chinchaladze (Speaker) at V Annual meeting of the Georgian Mechanical Union, 2014, Tbilisi, Georgia.
  • On some analytical methods for calculating cusped prismatic shells , by Natalia Chinchaladze (Speaker) at The 9th ISAAC Congress, 2013, Krakow, Poland.
  • Hierarchical models for biofilms occupying thin prismatic domains with a variable thickness , by Natalia Chinchaladze (Speaker) at SECOND INTERNATIONAL CONFERENCE ON "MODERN PROBLEMS IN APPLIED MATHEMATICS", 2013, Tbilisi, Georgia.
  • Some numerical methods for laminated prismatic shells in the zeroth approximations, by Natalia Chinchaladze (Speaker) at IV Annual Meeting of the Georgian Mechanical Union, 2013, Kutaisi, Georgia.
  • Direct and inverse elastic beams-fluid interaction problems, by Natalia Chinchaladze (Speaker) at Sixth International Conference "Inverse Problems: Modeling and Simulation", 2012, Antalya, Turkey.
  • On a vibration of a cusped plane in the zero approximation of Vekua's hierarchical models, by Natalia Chinchaladze (Speaker) at Conference of Applied Analysis and Mathematical Biology, 2012, Newark, USA.
  • Harmonic vibration of a cusped plate in the zero approximation of Vekua's hierarchical models , by Natalia Chinchaladze (Speaker) at 38th Solid Mechanics Conference, 2012, Warsaw, Poland.
  • Cubature of the Solution of the Dirichlet Problem for Euler–Poisson–Darboux Equation in the Half-plane by Approximate Quasi-Interpolation, by Natalia Chinchaladze (Speaker) at II International Conference of the Georgian Mathematical Union, 2011, Batumi, Georgia.
  • Vibration of Elastic Plates with Variable Thickness on a Basis of the Refined Theories, by Natalia Chinchaladze (Speaker) at International Conference “CONTINUUM MECHANICS AND RELATED PROBLEMS OF ANALYSIS” , 2011, Tbilisi, Georgia.
  • Cylindrical Vibration Problems for the Cusped Plates, by Natalia Chinchaladze (Speaker) at The IV Congress of the Turkic World Mathematical Society, 2011, Baku, Azerbaijan.
  • Big deflections of the cusped plate under the Combined Action of Uniform Transverse Load and Uniform Tension, by Natalia Chinchaladze (Speaker) at International Scientific-Technical Conference “Civil Engineering Mechanics Actual Problems”, 2010, Tbilisi, Georgia.
  • Cylindrical Vibration of Cusped Reisner-Mindlin Plates, by Natalia Chinchaladze (Speaker) at 8th AIMS Conference, 2010, Dresden, Germany.
  • 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 , 2008, Tbilisi, Georgia.

პუბლიკაციები

  • Natalia Chinchaladze, On One Oscillation Problem of Zeroth Approximation of Hierarchical Model for Porous Elastic Plates with Variable Thickness, Trends in Mathematics, Springer, 2023.
  • 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, 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.
  • Natalia Chinchaladze, Archil Sakevarashvili, ON A PROBLEM OF NONHOMOGENEOUS PIEZOELECTRIC ELASTIC ROD WHEN VARIABLE CONSTITUTIVE COEFFICIENTS, Lecture Notes of TICMI, Vol. 21, 121–138, Tbilisi University Press, 2020.
  • Holm Altenbach, Natalia Chinchaladze, Reinhold Kienzler, Wolfgang Mueller, Analysis of Shells, Plates, and Beams, Sringer Series: Advanced Structured Materials, Springer, 2020.
  • Natalia Chinchaladze, On a Vibration Problem of the Transversely Isotropic Bars, Bulletin of TICMI, Vol. 23(2), 87–96, Tbilisi University Press, 2019.
  • Natalia Chinchaladze, Robert Gilbert, On a vibration problem of antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies, Complex Variables and Elliptic Equations, Vol. 63(6), 886-895, Taylor & Francis, 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.
  • Natalia Chinchaladze, Margarita tutberidze, On Some Bending Problems of Prismatic Shell with the Thickness Vanishing at Infinity, Journal of Mathematics and System Science, Vol. 7, 88-93, David Publishing Company, 2017.
  • Natalia Chinchaladze, On One Problem of a Cusped Elastic Prismatic Shells in Case of the Third Model of Vekua’s Hierarchical Model, HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, Vol. 45 (6), 1665-1673, Hacettepe University, 2016.
  • Natalia Chinchaladze, On Some Dynamical Problems of the Antiplane Strain (shear) of Isotropic Non-Homogeneous Prismatic Shell-Like Bodies, Bull. TICMI, 19 (2), 55-65, Tbilisi University Press, 2015.
  • Natalia Chinchaladze, On a Mathematical Problem of Cusped Double-Layered Plates. , PAMM, vol. 15, Issue 1, 181–182, Wiley, 2015.
  • Natalia Chinchaladze, On a Cusped Double-layered Prismatic Shell, Proceedings of I. Vekua Institute of Applied Mathematics, v. 64, 13-23, Tbilisi University Press, 2014.
  • Natalia Chinchaladze, Hierarchical Models for Biofilms Occupying Thin Prismatic Domains, Bulletin of TICMI, vol.18, No. 2, 102-109, Tbilisi University Press, 2014.
  • Natalia Chinchaladze, On Some Analytic Methods for Calculating of Cusped Prismatic Shells, PAMM, vol. 14, Issue 1, 185–186, Wiley, 2014.
  • Natalia Chinchaladze, Harmonic vibration of prismatic shells in zero approximation of Vekua's hierarchical models, Applicable Analysis 92 (11), 2275-2287, Taylor and Francis Ltd., 2013.
  • Natalia Chinchaladze, Harmonic vibration of cusped plates in the N-th approximation of Vekua’s hierarchical models, Archives of Mechanics 65 (5), 345-365, IPPT PAN, 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.
  • Natalia Chinchaladze, 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, 33-45, Tbilisi University Press, 2012.
  • 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.
  • Natalia Chinchaladze, 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, AIMS, 2011.
  • 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.
  • 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.
  • 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.
  • Natalia Chinchaladze, 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, 77-90, Springer, 2008.
  • Natalia Chinchaladze, On some nonclassical problems for differential equations and their applications to the theory of cusped prismatic shells, Lecture Notes of TICMI, v. 9, Tbilisi University Press, 2008.
  • Natalia Chinchaladze, Robert Gilbert, 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, 1177-1187 , Taylor and Francis Ltd., 2006.
  • Natalia Chinchaladze, Robert Gilbert, 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 and Elliptic Equations, vol. 50, No. 7-11 , Taylor and Francis Ltd., 2005.
  • Giorgi Kapanadze, Natalia Chinchaladze, On a one inverse problem of the bending of a plate with variable flexural-rigidity, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Volume 31, 22-26, Tbilisi University Press, 2005.
  • Natalia Chinchaladze, Vibration of the plate with two cusped edges, Proceedings of I.Vekua Institute of Applied Mathematics of Tbilisi State University, vol. 52, 30-48, Tbilisi University Press, 2002.
  • Natalia Chinchaladze, On a Cusped Elastic Solid-Incompressible Fluid Interaction Problem. Harmonic Vibration. , Mechanics and Mechanical Engineering, vol. 6, No. 1, 5-29, Technical University of Lodz, 2002.
  • Natalia Chinchaladze, 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, 31-39, Tbilisi University Press, 2002.
  • Natalia Chinchaladze, George Jaiani, On a cusped elastic solid-fluid interaction problem, AMIM, vol. 6, No. 2, 25-64, Tbilisi University Press, 2001.