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Author ID: natroshvili.david Recent zbMATH articles by "Natroshvili, David"
Published as: Natroshvili, David; Natroshvili, D.; Natroshvili, D. G.; Natrosvili, D. G.; Natrosvili, D.; Natrovshvili, D. G.; Natroshvilli, D.
Homepage: http://www.viam.science.tsu.ge/curi/elasty/natroshvili/
External Links: Math-Net.Ru
all top 5

Serials

23 Memoirs on Differential Equations and Mathematical Physics
15 Mathematical Methods in the Applied Sciences
15 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
13 Georgian Mathematical Journal
11 Trudy Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua
6 Journal of Integral Equations and Applications
5 Transactions of A. Razmadze Mathematical Institute
4 Applicable Analysis
4 Mathematische Nachrichten
4 Proceedings of A. Razmadze Mathematical Institute
3 Differentsial’nye Uravneniya
3 Differential Equations
3 Integral Equations and Operator Theory
3 Applied Mathematics, Informatics and Mechanics
2 Journal of Mathematical Analysis and Applications
2 Journal of Elasticity
2 Bulletin of the Georgian Academy of Sciences
2 Applied Mathematics and Informatics
2 Bulletin of TICMI
2 Proceedings of I. Vekua Institute of Applied Mathematics
2 Springer Proceedings in Mathematics & Statistics
1 Inverse Problems
1 Quarterly Journal of Mechanics and Applied Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Journal of Computational and Applied Mathematics
1 Bulletin of the Greek Mathematical Society
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Numerical Methods for Partial Differential Equations
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Opuscula Mathematica
1 European Mathematical Society Newsletter
1 Trudy Tbilisskogo Universiteta. Matematika, Mekhanika, Astronomiya
1 Seminar of I. Vekua Institute of Applied Mathematics. Reports
1 Analysis and Applications (Singapore)
1 Lecture Notes of TICMI
1 Operator Theory: Advances and Applications

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 585 times in 226 Documents Cited by Year
Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. Zbl 1204.65139
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
45
2009
Mixed problems for homogeneous anisotropic elastic media. Zbl 1016.35502
Natroshvili, D. G.; Chkadua, O. O.; Shargorodskij, E. M.
23
1990
Boundary integral equation method in the steady state oscillation problems for ansiotropic bodies. Zbl 0872.35115
Natroshvili, David
22
1997
Boundary value problems of the mathematical theory of cracks. Zbl 1016.35501
Duduchava, R.; Natroshvili, D.; Shargorodskij, E.
22
1990
Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. Zbl 1276.35067
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
22
2013
Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics. Zbl 1194.65142
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
20
2010
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I. Zbl 0822.35135
Duduchava, R.; Natroshvili, D.; Shargorodsky, E.
20
1995
Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
20
2013
Interface crack problems for metallic-piezoelectric composite structures. Zbl 1407.74075
Buchukuri, T.; Chkadua, O.; Duduchava, R.; Natroshvili, D.
17
2012
Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Zbl 1208.65174
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
14
2011
Steady state oscillation problems in the theory of elasticity for chiral materials. Zbl 1108.35048
Natroshvili, David; Giorgashvili, Levan; Zazashvili, Shota
13
2005
Direct and inverse fluid-structure interaction problems. Zbl 1169.35322
Natroshvili, D.; Kharibegashvili, S.; Tediashvili, Z.
13
2000
Mathematical problems of generalized thermo-electro-magneto-elasticity theory. Zbl 1361.31005
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
13
2016
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II. Zbl 0822.35136
Duduchava, R.; Natroshvili, D.; Shargorodsky, E.
12
1995
Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary. Zbl 1076.74038
Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.; Wendland, W. L.
12
2004
Mathematical problems of the theory of elasticity of chiral materials for Lipschitz domains. Zbl 1129.74020
Natroshvili, David; Stratis, Ioannis G.
12
2006
Mixed boundary value problems of thermopiezoelectricity for solids with interior cracks. Zbl 1183.35263
Buchukuri, T.; Chkadua, O.; Natroshvili, D.
11
2009
Mathematical problems of the theory of elasticity of chiral materials. Zbl 1183.74027
Natroshvili, D.; Giorgashvili, L.; Stratis, I. G.
11
2003
Transmission problems in the theory of elastic hemitropic materials. Zbl 1136.74018
Natroshvili, David; Gachechiladze, Roland; Gachechiladze, Avtandil; Stratis, Ioannis G.
10
2007
General transmission problems in the theory of elastic oscillations of anisotropic bodies (basic interface problems). Zbl 0910.73016
Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L.
10
1998
Localized direct segregated boundary-domain integral equations for variable coefficient transmission problems with interface crack. Zbl 1235.35098
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
9
2011
Representation formulae of general solutions in the theory of hemitropic elasticity. Zbl 1107.74005
Natroshvili, David; Giorgashvili, Levan; Stratis, Ioannis G.
9
2006
Existence and uniqueness theorems for cusped prismatic shells in the \(N\)th hierarchical model. Zbl 1140.74016
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.
8
2008
Mixed crack type problem in anisotropic elasticity. Zbl 0901.73016
Duduchava, R.; Natroshvili, D.
7
1998
Uniqueness, existence, and integral equation formulations for interface scattering problems. Zbl 1081.35065
Natroshvili, David; Arens, Tilo; Chandler-Wilde, Simon N.
7
2003
A boundary variational inequality approach to unilateral contact with hemitropic materials. Zbl 1174.35400
Gachechiladze, R.; Gwinner, J.; Natroshvili, D.
6
2006
General transmission problems in the theory of elastic oscillations of anisotropic bodies (mixed interface problems). Zbl 1066.74546
Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L.
6
1999
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II. Zbl 1060.35533
Jentsch, Lothar; Natroshvili, David
6
1999
A boundary integral equations approach for mixed impedance problems in elasticity. Zbl 1253.74044
Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G.
6
2011
Interaction between thermoelastic and scalar oscillation fields. Zbl 0898.73014
Jentsch, L.; Natroshvili, D.
6
1997
Solvability and regularity results to boundary-transmission problems for metallic and piezoelectric elastic materials. Zbl 1180.35511
Buchukuri, T.; Chkadua, O.; Natroshvili, D.; Sändig, A.-M.
6
2009
Analysis of some localized boundary-domian integral equations. Zbl 1175.65141
Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D.
6
2009
Non-classical mixed interface problems for anisotropic bodies. Zbl 0854.73009
Jentsch, Lothar; Natroshvili, David
6
1996
Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity. Zbl 1378.35296
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
6
2017
An application of the reciprocity gap functional to inverse mixed impedance problems in elasticity. Zbl 1197.35310
Athanasiadis, Christodoulos E.; Natroshvili, David; Sevroglou, Vassilios; Stratis, Ioannis G.
6
2010
Mathematical problems of thermo-electro-magneto-elasticity. Zbl 1513.35493
Natroshvili, David
6
2011
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. I. Zbl 0943.35096
Jentsch, Lothar; Natroshvili, David
5
1999
Mixed interface problems for anisotropic elastic bodies. Zbl 0845.35125
Natroshvili, D.
5
1995
Nonlocal approach in mathematical problems of fluid-structure interaction. Zbl 0959.35138
Jentsch, Lothar; Natroshvili, David
5
1999
Boundary variational inequality approach in the anisotropic elasticity for the Signorini problem. Zbl 1008.35032
Gachechiladze, A.; Natroshvili, D.
5
2001
Non-classical interface problems for piecewise homogeneous anisotropic elastic bodies. Zbl 0813.73058
Jentsch, Lothar; Natroshvili, David
5
1995
Interaction of elastic and scalar fields. Zbl 0864.35107
Natroshvili, David; Sadunishvili, Guram
5
1996
The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023
Castro, Luis P.; Natroshvili, David
4
2006
Mathematical problems of thermoelasticity for hemitropic solids. Zbl 1197.35287
Natroshvili, David; Giorgashvili, Levan; Zazashvili, Shota
4
2009
Two-dimensional steady-state oscillation problems of anisotropic elasticity. Zbl 0848.35022
Natroshvili, D.
4
1996
Some remarks concerning Jones eigenfrequencies and Jones modes. Zbl 1138.74327
Natroshvili, David; Sadunishvili, Guram; Sigua, Irine
4
2005
Mixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracks. Zbl 1356.35240
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
4
2016
Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems. Zbl 1368.35093
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
4
2017
A boundary variational inequality approach to unilateral contact problems with friction for micropolar hemitropic solids. Zbl 1204.35160
Gachechiladze, A.; Gachechiladze, R.; Gwinner, J.; Natroshvili, D.
4
2010
Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. Zbl 1405.35122
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
4
2018
Frictionless contact problems for elastic hemitropic solids: boundary variational inequality approach. Zbl 1387.35304
Gachechiladze, A.; Gachechiladze, R.; Natroshvili, D.
3
2012
Contact problems with friction for hemitropic solids: boundary variational inequality approach. Zbl 1209.35137
Gachechiladze, A.; Gachechiladze, R.; Gwinner, J.; Natroshvili, D.
3
2011
Boundary-contact problems for elastic hemitropic bodies. Zbl 1423.74664
Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David
3
2009
Boundary integral equation methods in the theory of elasticity of hemitropic materials: a brief review. Zbl 1350.74025
Natroshvili, David; Stratis, Ioannis G.; Zazashvili, Shota
3
2010
Unilateral contact problems with friction for hemitropic elastic solids. Zbl 1187.35112
Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David
3
2009
Mathematical problems of the anisotropic elasticity for piece-wise homogeneous bodies. Zbl 0830.73009
Natroshvili, David
3
1994
Dynamical contact problems with friction for hemitropic elastic solids. Zbl 1290.49016
Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David
3
2014
Mixed impedance transmission problems for vibrating layered elastic bodies. Zbl 1329.74142
Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G.
3
2015
Interaction of acoustic waves and piezoelectric structures. Zbl 1329.76313
Chkadua, George; Natroshvili, David
3
2015
Mixed and crack type problems of the thermopiezoelectricity theory without energy dissipation. Zbl 1403.35285
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
3
2018
Fluid-solid interaction: acoustic scattering by an elastic obstacle with Lipschitz boundary. Zbl 1186.74040
Natroshvili, D.; Sadunishvili, D.; Sigua, I.; Tediashvili, Z.
2
2005
Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients. Zbl 1246.65225
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2
2011
Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains. Zbl 1246.65226
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2
2011
On the uniqueness of a solution to anisotropic Maxwell’s equations. Zbl 1192.78014
Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Natroshvili, D.
2
2010
Representation formulas of general solutions to the static equations of the hemitropic elasticity theory. Zbl 1171.74007
Giorgashvili, L.; Natroshvili, D.
2
2009
Boundary contact problems with friction of dynamics for hemitropic elastic solids. Zbl 1243.74129
Gachechiladze, A.; Gachechiladze, R.; Natroshvili, D.
2
2011
Interaction problems of metallic and piezoelectric materials with regard to thermal stresses. Zbl 1167.74016
Buchukuri, T.; Chkadua, O.; Natroshvili, D.; Sändig, A.-M.
2
2008
Some mathematical problems related to the first approximation of I. Vekua’s theory for cusped prismatic shells. Zbl 1154.74354
Devdariani, G.; Jaiani, G.; Natroshvili, D.; Kharibegashvili, S.
2
2000
On the continuity of generalized solutions for basic boundary value problems of the mathematical theory of cracks. Zbl 0737.73066
Duduchava, R. V.; Natroshvili, D. G.; Shargorodskij, E. M.
2
1989
Mixed type direct and inverse scattering problems. Zbl 1149.35396
Natroshvili, David; Tediashvili, Zurab
2
2001
Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
2
2010
On an alternative approach for mixed boundary value problems for the Laplace equation. Zbl 1505.35107
Natroshvili, David; Tsertsvadze, Tornike
2
2022
Mathematical aspects of fluid-multiferroic solid interaction problems. Zbl 1473.35193
Chkadua, George; Natroshvili, David
2
2021
Potential methods in the problems of linear theory of elastic mixtures. Zbl 0686.73056
Natroshvili, David; Svanadze, Merab
1
1989
Dynamic problems of thermoelasticity for anisotropic homogeneous media. Zbl 0535.73008
Natroshvili, D. G.
1
1984
Cusped elastic beams under the action of stresses and concentrated forces. Zbl 1423.74462
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.
1
2010
Fluid-structure interaction problems. Zbl 0998.74028
Natroshvili, D.; Sändig, A.-M.; Wendland, W. L.
1
2000
Interface crack problems for metallic-piezoelectric composite structures. Zbl 1186.35218
Natroshvili, D.; Stratis, I. G.; Zazashvili, S.
1
2010
Solution of some contact boundary value problems of the theory of elasticity. (Reshenie nekotorykh granichnokontaktnykh zadach teorii uprugosti). Zbl 0473.73124
Natroshvili, D. G.; Dzhagmaidze, A. Ya.; Svanadze, M. Zh.
1
1980
The Dirichlet metaharmonic Green’s function for unbounded regions. Zbl 1055.31002
Natroshvili, David; Chandler-Wilde, Simon N.
1
2003
Thermoelastic oscillations of anisotropic bodies. Zbl 0911.73019
Jentsch, L.; Natroshvili, D.
1
1997
On the fundamental matrices of the equations of stationary oscillations and pseudooscillations of the anisotropic theory of elasticity. Zbl 0416.35018
Natroshvili, D. G.
1
1979
Estimates of Green’s tensors in elasticity theory. Zbl 0449.73024
Natroshvili, D. G.
1
1978
Localized boundary-domain integral equations approach for Robin type problem of the theory of piezo-elasticity for inhomogeneous solids. Zbl 1330.35435
Chkadua, Otar; Natroshvili, David
1
2015
A mixed impedance scattering problem for partially coated obstacles in two-dimensional linear elasticity. Zbl 1455.74049
Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G.
1
2015
Recent trends in operator theory and partial differential equations. The Roland Duduchava anniversary volume. Zbl 1366.47001
1
2017
Method of fundamental solutions for transmission problems. Zbl 1342.31002
Manelidze, Gela; Natroshvili, David
1
2015
Mixed type boundary value problems in the linear theory of elastic mixtures for bodies with interior cuts. Zbl 1147.35028
Natroshvili, David; Zazashvili, Shota
1
2007
The method of generalized series in the anisotropic theory of elasticity. Zbl 1014.35016
Natroshvili, D. G.
1
1990
Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory. Zbl 1472.74067
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
1
2021
Mixed boundary-transmission problems for composite layered elastic structures. Zbl 1477.31018
Natroshvili, David; Mrevlishvili, Maia
1
2021
Investigation of interior and exterior Neumann-type static boundary-value problems of thermo-electro-magneto elasticity theory. Zbl 1388.35189
Mrevlishvili, M.; Natroshvili, David
1
2011
On an alternative approach for mixed boundary value problems for the Laplace equation. Zbl 1505.35107
Natroshvili, David; Tsertsvadze, Tornike
2
2022
Mathematical aspects of fluid-multiferroic solid interaction problems. Zbl 1473.35193
Chkadua, George; Natroshvili, David
2
2021
Mixed- and crack-type dynamical problems of electro-magneto-elasticity theory. Zbl 1472.74067
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
1
2021
Mixed boundary-transmission problems for composite layered elastic structures. Zbl 1477.31018
Natroshvili, David; Mrevlishvili, Maia
1
2021
Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. Zbl 1405.35122
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
4
2018
Mixed and crack type problems of the thermopiezoelectricity theory without energy dissipation. Zbl 1403.35285
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
3
2018
Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity. Zbl 1378.35296
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
6
2017
Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems. Zbl 1368.35093
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
4
2017
Recent trends in operator theory and partial differential equations. The Roland Duduchava anniversary volume. Zbl 1366.47001
1
2017
Mathematical problems of generalized thermo-electro-magneto-elasticity theory. Zbl 1361.31005
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
13
2016
Mixed boundary value problems of pseudo-oscillations of generalized thermo-electro-magneto-elasticity theory for solids with interior cracks. Zbl 1356.35240
Buchukuri, Tengiz; Chkadua, Otar; Natroshvili, David
4
2016
Mixed impedance transmission problems for vibrating layered elastic bodies. Zbl 1329.74142
Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G.
3
2015
Interaction of acoustic waves and piezoelectric structures. Zbl 1329.76313
Chkadua, George; Natroshvili, David
3
2015
Localized boundary-domain integral equations approach for Robin type problem of the theory of piezo-elasticity for inhomogeneous solids. Zbl 1330.35435
Chkadua, Otar; Natroshvili, David
1
2015
A mixed impedance scattering problem for partially coated obstacles in two-dimensional linear elasticity. Zbl 1455.74049
Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G.
1
2015
Method of fundamental solutions for transmission problems. Zbl 1342.31002
Manelidze, Gela; Natroshvili, David
1
2015
Dynamical contact problems with friction for hemitropic elastic solids. Zbl 1290.49016
Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David
3
2014
Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. Zbl 1276.35067
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
22
2013
Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. Zbl 1273.45007
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
20
2013
Interface crack problems for metallic-piezoelectric composite structures. Zbl 1407.74075
Buchukuri, T.; Chkadua, O.; Duduchava, R.; Natroshvili, D.
17
2012
Frictionless contact problems for elastic hemitropic solids: boundary variational inequality approach. Zbl 1387.35304
Gachechiladze, A.; Gachechiladze, R.; Natroshvili, D.
3
2012
Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Zbl 1208.65174
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
14
2011
Localized direct segregated boundary-domain integral equations for variable coefficient transmission problems with interface crack. Zbl 1235.35098
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
9
2011
A boundary integral equations approach for mixed impedance problems in elasticity. Zbl 1253.74044
Athanasiadis, C. E.; Natroshvili, D.; Sevroglou, V.; Stratis, I. G.
6
2011
Mathematical problems of thermo-electro-magneto-elasticity. Zbl 1513.35493
Natroshvili, David
6
2011
Contact problems with friction for hemitropic solids: boundary variational inequality approach. Zbl 1209.35137
Gachechiladze, A.; Gachechiladze, R.; Gwinner, J.; Natroshvili, D.
3
2011
Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients. Zbl 1246.65225
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2
2011
Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains. Zbl 1246.65226
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2
2011
Boundary contact problems with friction of dynamics for hemitropic elastic solids. Zbl 1243.74129
Gachechiladze, A.; Gachechiladze, R.; Natroshvili, D.
2
2011
Investigation of interior and exterior Neumann-type static boundary-value problems of thermo-electro-magneto elasticity theory. Zbl 1388.35189
Mrevlishvili, M.; Natroshvili, David
1
2011
Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics. Zbl 1194.65142
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
20
2010
An application of the reciprocity gap functional to inverse mixed impedance problems in elasticity. Zbl 1197.35310
Athanasiadis, Christodoulos E.; Natroshvili, David; Sevroglou, Vassilios; Stratis, Ioannis G.
6
2010
A boundary variational inequality approach to unilateral contact problems with friction for micropolar hemitropic solids. Zbl 1204.35160
Gachechiladze, A.; Gachechiladze, R.; Gwinner, J.; Natroshvili, D.
4
2010
Boundary integral equation methods in the theory of elasticity of hemitropic materials: a brief review. Zbl 1350.74025
Natroshvili, David; Stratis, Ioannis G.; Zazashvili, Shota
3
2010
On the uniqueness of a solution to anisotropic Maxwell’s equations. Zbl 1192.78014
Buchukuri, T.; Duduchava, R.; Kapanadze, D.; Natroshvili, D.
2
2010
Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
2
2010
Cusped elastic beams under the action of stresses and concentrated forces. Zbl 1423.74462
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.
1
2010
Interface crack problems for metallic-piezoelectric composite structures. Zbl 1186.35218
Natroshvili, D.; Stratis, I. G.; Zazashvili, S.
1
2010
Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. Zbl 1204.65139
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
45
2009
Mixed boundary value problems of thermopiezoelectricity for solids with interior cracks. Zbl 1183.35263
Buchukuri, T.; Chkadua, O.; Natroshvili, D.
11
2009
Solvability and regularity results to boundary-transmission problems for metallic and piezoelectric elastic materials. Zbl 1180.35511
Buchukuri, T.; Chkadua, O.; Natroshvili, D.; Sändig, A.-M.
6
2009
Analysis of some localized boundary-domian integral equations. Zbl 1175.65141
Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D.
6
2009
Mathematical problems of thermoelasticity for hemitropic solids. Zbl 1197.35287
Natroshvili, David; Giorgashvili, Levan; Zazashvili, Shota
4
2009
Boundary-contact problems for elastic hemitropic bodies. Zbl 1423.74664
Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David
3
2009
Unilateral contact problems with friction for hemitropic elastic solids. Zbl 1187.35112
Gachechiladze, Avtandil; Gachechiladze, Roland; Natroshvili, David
3
2009
Representation formulas of general solutions to the static equations of the hemitropic elasticity theory. Zbl 1171.74007
Giorgashvili, L.; Natroshvili, D.
2
2009
Existence and uniqueness theorems for cusped prismatic shells in the \(N\)th hierarchical model. Zbl 1140.74016
Chinchaladze, N.; Gilbert, R. P.; Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.
8
2008
Interaction problems of metallic and piezoelectric materials with regard to thermal stresses. Zbl 1167.74016
Buchukuri, T.; Chkadua, O.; Natroshvili, D.; Sändig, A.-M.
2
2008
Transmission problems in the theory of elastic hemitropic materials. Zbl 1136.74018
Natroshvili, David; Gachechiladze, Roland; Gachechiladze, Avtandil; Stratis, Ioannis G.
10
2007
Mixed type boundary value problems in the linear theory of elastic mixtures for bodies with interior cuts. Zbl 1147.35028
Natroshvili, David; Zazashvili, Shota
1
2007
Mathematical problems of the theory of elasticity of chiral materials for Lipschitz domains. Zbl 1129.74020
Natroshvili, David; Stratis, Ioannis G.
12
2006
Representation formulae of general solutions in the theory of hemitropic elasticity. Zbl 1107.74005
Natroshvili, David; Giorgashvili, Levan; Stratis, Ioannis G.
9
2006
A boundary variational inequality approach to unilateral contact with hemitropic materials. Zbl 1174.35400
Gachechiladze, R.; Gwinner, J.; Natroshvili, D.
6
2006
The potential method for the reactance wave diffraction problem in a scale of spaces. Zbl 1220.35023
Castro, Luis P.; Natroshvili, David
4
2006
Steady state oscillation problems in the theory of elasticity for chiral materials. Zbl 1108.35048
Natroshvili, David; Giorgashvili, Levan; Zazashvili, Shota
13
2005
Some remarks concerning Jones eigenfrequencies and Jones modes. Zbl 1138.74327
Natroshvili, David; Sadunishvili, Guram; Sigua, Irine
4
2005
Fluid-solid interaction: acoustic scattering by an elastic obstacle with Lipschitz boundary. Zbl 1186.74040
Natroshvili, D.; Sadunishvili, D.; Sigua, I.; Tediashvili, Z.
2
2005
Two-dimensional hierarchical models for prismatic shells with thickness vanishing at the boundary. Zbl 1076.74038
Jaiani, G.; Kharibegashvili, S.; Natroshvili, D.; Wendland, W. L.
12
2004
Mathematical problems of the theory of elasticity of chiral materials. Zbl 1183.74027
Natroshvili, D.; Giorgashvili, L.; Stratis, I. G.
11
2003
Uniqueness, existence, and integral equation formulations for interface scattering problems. Zbl 1081.35065
Natroshvili, David; Arens, Tilo; Chandler-Wilde, Simon N.
7
2003
The Dirichlet metaharmonic Green’s function for unbounded regions. Zbl 1055.31002
Natroshvili, David; Chandler-Wilde, Simon N.
1
2003
Boundary variational inequality approach in the anisotropic elasticity for the Signorini problem. Zbl 1008.35032
Gachechiladze, A.; Natroshvili, D.
5
2001
Mixed type direct and inverse scattering problems. Zbl 1149.35396
Natroshvili, David; Tediashvili, Zurab
2
2001
Direct and inverse fluid-structure interaction problems. Zbl 1169.35322
Natroshvili, D.; Kharibegashvili, S.; Tediashvili, Z.
13
2000
Some mathematical problems related to the first approximation of I. Vekua’s theory for cusped prismatic shells. Zbl 1154.74354
Devdariani, G.; Jaiani, G.; Natroshvili, D.; Kharibegashvili, S.
2
2000
Fluid-structure interaction problems. Zbl 0998.74028
Natroshvili, D.; Sändig, A.-M.; Wendland, W. L.
1
2000
General transmission problems in the theory of elastic oscillations of anisotropic bodies (mixed interface problems). Zbl 1066.74546
Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L.
6
1999
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II. Zbl 1060.35533
Jentsch, Lothar; Natroshvili, David
6
1999
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. I. Zbl 0943.35096
Jentsch, Lothar; Natroshvili, David
5
1999
Nonlocal approach in mathematical problems of fluid-structure interaction. Zbl 0959.35138
Jentsch, Lothar; Natroshvili, David
5
1999
General transmission problems in the theory of elastic oscillations of anisotropic bodies (basic interface problems). Zbl 0910.73016
Jentsch, Lothar; Natroshvili, David; Wendland, Wolfgang L.
10
1998
Mixed crack type problem in anisotropic elasticity. Zbl 0901.73016
Duduchava, R.; Natroshvili, D.
7
1998
Boundary integral equation method in the steady state oscillation problems for ansiotropic bodies. Zbl 0872.35115
Natroshvili, David
22
1997
Interaction between thermoelastic and scalar oscillation fields. Zbl 0898.73014
Jentsch, L.; Natroshvili, D.
6
1997
Thermoelastic oscillations of anisotropic bodies. Zbl 0911.73019
Jentsch, L.; Natroshvili, D.
1
1997
Non-classical mixed interface problems for anisotropic bodies. Zbl 0854.73009
Jentsch, Lothar; Natroshvili, David
6
1996
Interaction of elastic and scalar fields. Zbl 0864.35107
Natroshvili, David; Sadunishvili, Guram
5
1996
Two-dimensional steady-state oscillation problems of anisotropic elasticity. Zbl 0848.35022
Natroshvili, D.
4
1996
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I. Zbl 0822.35135
Duduchava, R.; Natroshvili, D.; Shargorodsky, E.
20
1995
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II. Zbl 0822.35136
Duduchava, R.; Natroshvili, D.; Shargorodsky, E.
12
1995
Mixed interface problems for anisotropic elastic bodies. Zbl 0845.35125
Natroshvili, D.
5
1995
Non-classical interface problems for piecewise homogeneous anisotropic elastic bodies. Zbl 0813.73058
Jentsch, Lothar; Natroshvili, David
5
1995
Mathematical problems of the anisotropic elasticity for piece-wise homogeneous bodies. Zbl 0830.73009
Natroshvili, David
3
1994
Mixed problems for homogeneous anisotropic elastic media. Zbl 1016.35502
Natroshvili, D. G.; Chkadua, O. O.; Shargorodskij, E. M.
23
1990
Boundary value problems of the mathematical theory of cracks. Zbl 1016.35501
Duduchava, R.; Natroshvili, D.; Shargorodskij, E.
22
1990
The method of generalized series in the anisotropic theory of elasticity. Zbl 1014.35016
Natroshvili, D. G.
1
1990
On the continuity of generalized solutions for basic boundary value problems of the mathematical theory of cracks. Zbl 0737.73066
Duduchava, R. V.; Natroshvili, D. G.; Shargorodskij, E. M.
2
1989
Potential methods in the problems of linear theory of elastic mixtures. Zbl 0686.73056
Natroshvili, David; Svanadze, Merab
1
1989
Dynamic problems of thermoelasticity for anisotropic homogeneous media. Zbl 0535.73008
Natroshvili, D. G.
1
1984
Solution of some contact boundary value problems of the theory of elasticity. (Reshenie nekotorykh granichnokontaktnykh zadach teorii uprugosti). Zbl 0473.73124
Natroshvili, D. G.; Dzhagmaidze, A. Ya.; Svanadze, M. Zh.
1
1980
On the fundamental matrices of the equations of stationary oscillations and pseudooscillations of the anisotropic theory of elasticity. Zbl 0416.35018
Natroshvili, D. G.
1
1979
Estimates of Green’s tensors in elasticity theory. Zbl 0449.73024
Natroshvili, D. G.
1
1978
all top 5

Cited by 198 Authors

43 Natroshvili, David
22 Mikhailov, Sergey E.
21 Wendland, Wolfgang L.
19 Chkadua, Otar
15 Duduchava, Roland
14 Kohr, Mirela
11 Fresneda-Portillo, Carlos
8 Jaiani, George V.
8 Kapanadze, David
7 Pinheiro de Castro, Luís Filipe
7 Jentsch, Lothar
7 Zazashvili, Shota
6 Gachechiladze, Avtandil
6 Gachechiladze, Roland
6 Giorgashvili, Levan
6 Sevroglou, Vassilios
6 Stratis, Ioannis G.
6 Yang, Jiaqing
6 Zhang, Bo
5 Athanasiadis, Christodoulos E.
5 Athanasiadou, Evagelia S.
5 Buchukuri, Tengiz
5 Chinchaladze, Natalia
4 Gilbert, Robert Pertsch
4 Gwinner, Joachim
4 Iesan, Dorin
4 Kharibegashvili, S. S.
4 Lanza de Cristoforis, Massimo
4 Qu, Fenglong
3 Ayele, Tsegaye G.
3 Chapko, Roman
3 Chkadua, George
3 Cui, Yanli
3 Demiralp, Metin
3 Glushko, Andrey V.
3 Johansson, B. Tomas
3 Li, Jianliang
3 Malaspina, Angelica
3 Picard, Rainer H.
3 Rabinovich, Vladimir Samuilovich
3 Ryabenko, Aleksandr S.
3 Tsertsvadze, Tornike
3 Tuna, Süha
3 Woldemicheal, Zenebe W.
2 Agranovich, Mikhail Semënovich
2 Arkoudis, I.
2 Avalishvili, Gia
2 Avalishvili, Mariam
2 Bekele, Solomon T.
2 Beshley, Andriy
2 Böhmer, Christian G.
2 Cialdea, Alberto
2 Costabel, Martin
2 Dauge, Monique
2 Groşan, Teodor S.
2 Gutt, Robert
2 Hsiao, George Chia-Chu
2 Janjgava, Roman
2 Jiang, Quan
2 Kaikina, Elena Igorevna
2 Leonessa, Vita
2 Loginova, Ekaterina A.
2 Monk, Peter B.
2 Mrevlishvili, Maia
2 Nakamura, Gen
2 Nigam, Nilima
2 Petrova, Vera E.
2 Rozenblum, Grigori V.
2 Sändig, Anna-Margarete
2 Selgas, Virginia
2 Shargorodsky, Eugene
2 Skhvitaridze, Ketevan
2 Speck, Frank-Olme
2 Toloraia, Anika
2 Trostorff, Sascha
2 Tsaava, Medea
2 Wang, Jenn-Nan
2 Waurick, Marcus
2 Yang, Fengpeng
2 Zhang, Haiwen
2 Zhou, ZhiDong
2 Zoi, Stefania
1 Abdusalam, H. A.
1 Al-Ali, A. Y.
1 Almutairi, K. H.
1 Antil, Harbir
1 Basak, Nirupam
1 Bécache, Eliane
1 Bezhuashvili, Yu. A.
1 Bîrsan, Mircea
1 Bonnet-Ben Dhia, Anne-Sophie
1 Bonnet, Marc
1 Borachok, Ihor
1 Brown, Thomas S.
1 Burchuladze, D.
1 Chandler-Wilde, Simon N.
1 Chen, Jubing
1 Chernikova, A. S.
1 Chinchaladze, N. B.
1 Criado-Aldeanueva, Francisco
...and 98 more Authors
all top 5

Cited in 91 Serials

15 Mathematical Methods in the Applied Sciences
15 Georgian Mathematical Journal
12 Transactions of A. Razmadze Mathematical Institute
11 Applicable Analysis
9 Journal of Integral Equations and Applications
7 Journal of Mathematical Analysis and Applications
7 Mathematische Nachrichten
6 Journal of Elasticity
6 Complex Variables and Elliptic Equations
5 Integral Equations and Operator Theory
4 SIAM Journal on Applied Mathematics
4 Journal of Mathematical Fluid Mechanics
3 Acta Mechanica
3 Computers & Mathematics with Applications
3 Journal of Computational Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Journal of Mathematical Sciences (New York)
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Communications on Pure and Applied Analysis
3 Inverse Problems and Imaging
2 Inverse Problems
2 Journal of Engineering Mathematics
2 Functional Analysis and its Applications
2 Journal of Computational and Applied Mathematics
2 Numerical Functional Analysis and Optimization
2 Transactions of the American Mathematical Society
2 Acta Mathematicae Applicatae Sinica. English Series
2 Computational Mathematics and Mathematical Physics
2 Calculus of Variations and Partial Differential Equations
2 Engineering Analysis with Boundary Elements
2 Journal of Mathematical Chemistry
2 Mathematics and Mechanics of Solids
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Computational Methods in Applied Mathematics
2 Boundary Value Problems
2 Inverse Problems in Science and Engineering
2 Advances in Mathematical Physics
1 Archives of Mechanics
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Engineering Science
1 International Journal of Solids and Structures
1 Journal of Applied Mathematics and Mechanics
1 Journal of Mathematical Physics
1 Journal of the Mechanics and Physics of Solids
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Applied Mathematics and Computation
1 Journal of Differential Equations
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Optimization
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 Asymptotic Analysis
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Archive of Applied Mechanics
1 Continuum Mechanics and Thermodynamics
1 Potential Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Journal of the Egyptian Mathematical Society
1 Memoirs on Differential Equations and Mathematical Physics
1 Journal of Inverse and Ill-Posed Problems
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Abstract and Applied Analysis
1 Differential Equations
1 Analysis and Applications (Singapore)
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 SIAM Journal on Imaging Sciences
1 Bulletin of the Georgian National Academy of Sciences. New Series
1 Advances in Applied Mathematics and Mechanics
1 Journal of Pseudo-Differential Operators and Applications
1 Journal of Spectral Theory
1 Mathematics
1 Research in the Mathematical Sciences
1 Advances in Operator Theory
1 SN Partial Differential Equations and Applications

Citations by Year