Summary

Spheres of scientific interests:
1) Method of potentials and integral equations
2) Mathematical problems of the classical and refined models of Continuum Mechanics
3) Boundary-transmission and crack type problems of Mathematical Physics
4) Method of localized potentials


Education:
1986 - Doctor of Physical and Mathematical Sciences, A. Razmadze Tbilisi Mathematical Institute of
Georgian Academy of Sciences
1973 - Canditate of Physical and Mathematical Sciences, Tbilisi State University
1970 - Master's in Mathematics, Tbilisi State University

EMPLOYMENT:
1973 - 1987 – Junior, senior, chief researcher at the I.Vekua Institute of Applied Mathematics,
Tbilisi State University, Tbilisi, Georgia.
1987-2006 – Head of the Chair of Mathematics at the Georgian Technical University,
Tbilisi, Georgia.
2006-to present – Head of the Department of Mathematics at the Georgian Technical
University, Tbilisi, Georgia
2016 - 2020 Professor, San Diego State University - Georgia

Projects

• Non-classical problems of fluid-elastic cusped plate (beam) interaction (1-3339-TB-06), 2007-2009.
• Mathematical Models for Elastic Cusped Plates and Bars (NATO PST.CLG.976426/5437), 2000-2002.

Talks

• Application of the potential method in the theory of elasticity, by David Natroshvili (Speaker) at The Fourth International Conference "MODERN PROBLEMS IN APPLIED MATHEMATICS" Dedicated to the 105th Anniversary of I.Javakhishvili Tbilisi State University (TSU) & 55th Anniversary of I.Vekua Institut, 2023, Tbilisi, Georgia.
• An alternative potential method for mixed steady state elastic oscillation problems, by David Natroshvili (Speaker) at XIII International Conference of the Georgian Mathematical Union, 2023, Batumi, Georgia .
• An alternative potential method for mixed boundary value problems., by David Natroshvili (Speaker) at The Tbilisi Analysis & PDE Workshop (TAPDE Workshop 2023), 2023, Tbilisi, Georgia.
• Transmission problems for composite layered elastic structures containing interfacial cracks, by David Natroshvili (Speaker) at 10th International Congress on Industrial and Applied Mathematics, 2023, Tokyo, Japan.
• An alternative potential method for mixed boundary value problems, by David Natroshvili (Speaker) at Partial Differential Equations in Applied Mathematics: a hybrid conference in honour of Ioannis Stratis, 2023, Athens, Greece.
• Localized boundary-domain integro-differential equations approch, by Sveta Gorgisheli (Speaker), Maia Mrevlishvili, David Natroshvili at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, 2020, Tbilisi, Georgia.
• INVESTIGATION OF MULTI-FIELD MIXED TRANSMISSION PROBLEMS FOR COMPOSED ELASTIC STRUCTURES, by David Natroshvili (Speaker) at X Annual International Meeting of the Georgian Mechanical Union, 2019, Telavi, Georgia.
• INVESTIGATION OF MULTI-FIELD PROBLEMS FOR COMPOSED ELASTIC STRUCTURES BY THE INTEGRAL EQUATION METHOD , by Maia Mrevlishvili (Speaker), David Natroshvili at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, 2019, Tbilisi, Georgia.
• Dynamical Problems of Generalized Thermo-Electro-Magneto-Elasticity Theory, by David Natroshvili (Speaker) at The Fourth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering AMINSE 2019, 2019, Tbilisi, Georgia.
• DYNAMICAL INTERFACIAL CRACK PROBLEMS OF THE THERMO-ELECTRO-MAGNETO-ELASTICITY THEORY, by David Natroshvili (Speaker) at IX Annual International Meeting of the Georgian Mechanical Union, 2018, Kutaisi, Georgia.
• Dynamical Problems of Generalized Thermo-Electro-Magneto-Elasticity theory, by David Natroshvili (Speaker) at The Third International Conference "MODERN PROBLEMS IN APPLIED MATHEMATICS" Dedicated to the Centenary of I.Javakhishvili Tbilisi State University (TSU) & 50th Anniversary of I.Vekua Institute of Appl, 2018, Tbilisi, Georgia.
• Application of Bdie Method in the Theory of Acoustic Scattering by Inhomogeneous Anisotropic Obstacles, by David Natroshvili (Speaker) at The Third International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering Dedicated to the 80th Birthday of David Gordeziani AMINSE 2017, 2017, Tbilisi, Georgia.
• Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity, by David Natroshvili (Speaker) at XXXI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, 2017, Tbilisi, Georgia.
• Wave scattering by inhomogeneous anisotropic obstacles: boundary-domain integral equation approach, by David Natroshvili (Speaker) at VI Annual meeting of the Georgian Mechanical Union, 2015, Tbilisi, Georgia.
• Regularity of solutions to mixed interface crack problems, by David Natroshvili (Speaker) at V Annual meeting of the Georgian Mechanical Union, 2014, Tbilisi, Georgia.
• Heritage of V. Kupradze in 3D elasticity: potential method and fundamental solutions method, by David Natroshvili (Speaker) at III Annual meeting of the Georgian Mechanical Union, 2012, Tbilisi, Georgia.

Publications

• George Chkadua, David Natroshvili, Mathematical aspects of fluid-multiferroic solid interaction dynamical problems, Applicable Analysis, Vol. 102, No. 18 (2023), 5224–5250., Taylor & Francis Online, 2023.
• David Natroshvili, Tornike Tsertsvadze, On an alternative approach for mixed boundary value problems for the Lam´e system, J. Elast 153 (2023), 399–422, Springer, 2023.
• David Natroshvili, Tornike Tsertsvadze, On an alternative approach for mixed boundary value problems for the Laplace equation, Georgian Mathematical Journal, vol. 29, no. 6, 2022, pp. 883-895, De Gruyter, 2022.
• David Natroshvili, George Chkadua, Mathematical aspects of fluid-multiferroic solid interaction problems, Mathematical Methods in the Applied Sciences, Volume 44, Issue 12, 9727-9745, John Wiley & Sons, 2021.
• David Natroshvili, Tengiz Buchukuri, Otar Chkadua, MIXED BOUNDARY-TRANSMISSION PROBLEMS OF THE GENERALIZED THERMO-ELECTRO-MAGNETO-ELASTICITY THEORY FOR PIECEWISE HOMOGENEOUS COMPOSED STRUCTURES, Transactions of A. Razmadze Mathematical Institute, Vol. 175 (2021), issue 2, 163-198, Tbilisi University Press, 2021.
• David Natroshvili, Maia Mrevlishvili, Mixed boundary–transmission problems for composite layered elastic structures, Mathematical Methods in Applied Sciences, Volume 44, Issue 12, 9689-9709, John Wiley & Sons Ltd, 2021.
• David Natroshvili, Maia Mrevlishvili, Sveta Gorgisheli, BOUNDARY-TRANSMISSION PROBLEMS OF THE THEORY OF ACOUSTIC WAVES FOR PIECEWISE INHOMOGENEOUS ANISOTROPIC MULTI-COMPONENT LIPSCHITZ DOMAINS, Transactions of A. Razmadze Mathematical Institute, Vol. 174 (2020), issue 3, 303-324, Tbilisi University Press, 2020.
• David Natroshvili, Otar Chkadua, Sergey Mikhalov, Localized boundary-domain singular integral equations of the Robin type problem for self-adjoint second-order strongly elliptic PDE systems, Georgian Mathematical Journal Volume 28 Issue 5, De Gruyter, 2020.
• David Natroshvili, Tengiz Buchukuri, Otar Chkadua, Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory, Georgian Mathematical Journal, Volume 28 Issue 4, 533-553, De Gruyter, 2020.
• 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.
• David Natroshvili, Maia Mrevlishvili, INVESTIGATION OF NONCLASSICAL TRANSMISSION PROBLEMS OF THE THERMO-ELECTRO-MAGNETO ELASTICITY THEORY FOR COMPOSED BODIES BY THE INTEGRAL EQUATION METHOD, Transactions of A. Razmadze Mathematical Institute Vol. 173 (2019), issue 3, 103{130, Tbilisi University Press, 2019.
• David Natroshvili, Tengiz Buchukuri, Otar Chkadua, MIXED AND CRACK TYPE PROBLEMS OF THE THERMOPIEZOELECTRICITY THEORY WITHOUT ENERGY DISSIPATION, Memoirs on Differential Equations and Mathematical Physics Volume 74, 2018, 39–78, 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.
• David Natroshvili, Tengiz Buchukuri, Otar Chkadua, Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity, Transactions of A. Razmadze Mathematical Institute 171 (2017) 264–292, Elsevier, 2017.
• David Natroshvili, Tengiz Buchukuri, Otar Chkadua, Mathematical Problems of Generalized Thermo-Electro-Magneto-Elasticity Theory, Memoirs on Differential Equations and Mathematical Physics, Tbilisi State University, 2016.
• 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.
• David Natroshvili, MATHEMATICAL PROBLEMS OF THERMO-ELECTRO-MAGNETO-ELASTICITY, Lecture Notes of TICMI, Tbilisi State University, 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, 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, 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, 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, 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.
• 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.