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## Mikhailov, Sergey E.

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 Author ID: mikhailov.sergey-e Published as: Mikhailov, S. E.; Mikhailov, Sergey E.; Mikhailov, S.; Mikhaĭlov, S. E.; Mikhailov, Sergey External Links: ORCID
 Documents Indexed: 69 Publications since 1984
all top 5

#### Co-Authors

 22 single-authored 14 Natroshvili, David 6 Kohr, Mirela 6 Wendland, Wolfgang L. 4 Ayele, Tsegaye G. 4 Dufera, T. T. 4 Orlik, Julia 4 Portillo, Carlos F. 3 Chkadua, Otar 2 Blackledge, Jonathan M. 2 Hakim, Layal 2 Namestnikova, I. V. 1 Foxon, Brian 1 Grzhibovskis, Richards 1 Gutt, Robert 1 Isupov, L. P. 1 Lanza de Cristoforis, Massimo 1 Mohamed, Nurul Akmal 1 Musolino, Paolo 1 Nakhova, I. S. 1 Natroshvilli, D. 1 Osokin, A. E. 1 Rjasanow, Sergej 1 Turner, Martin J. 1 Woldemicheal, Zenebe W.
all top 5

#### Serials

 6 Mathematical Methods in the Applied Sciences 4 Journal of Engineering Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Integral Equations and Applications 4 Engineering Analysis with Boundary Elements 3 Proceedings of A. Razmadze Mathematical Institute 2 Archive of Applied Mechanics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Journal of Applied Mathematics and Mechanics 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 Integral Equations and Operator Theory 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 International Journal of Computer Mathematics 1 Soviet Physics. Doklady 1 Georgian Mathematical Journal 1 Memoirs on Differential Equations and Mathematical Physics 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Journal of Mathematical Fluid Mechanics 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Complex Variables and Elliptic Equations 1 Eurasian Mathematical Journal
all top 5

#### Fields

 43 Partial differential equations (35-XX) 22 Mechanics of deformable solids (74-XX) 20 Integral equations (45-XX) 19 Numerical analysis (65-XX) 10 Potential theory (31-XX) 10 Operator theory (47-XX) 8 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Fluid mechanics (76-XX) 2 Functions of a complex variable (30-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

51 Publications have been cited 352 times in 124 Documents Cited by Year
Localized boundary-domain integral formulations for problems with variable coefficients. Zbl 1016.65097
Mikhailov, S. E.
2002
Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains. Zbl 1216.35029
Mikhailov, Sergey E.
2011
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.
2009
Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem. Zbl 1073.65137
Mikhailov, S. E.; Nakhova, I. S.
2005
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.
2013
Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient. Zbl 1146.35031
Mikhailov, Sergey E.
2006
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.
2013
Integral potential method for a transmission problem with Lipschitz interface in $$\mathbb{R}^{3}$$ for the Stokes and Darcy-Forchheimer-Brinkman PDE systems. Zbl 1368.35096
Kohr, Mirela; Lanza de Cristoforis, Massimo; Mikhailov, Sergey E.; Wendland, Wolfgang L.
2016
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.
2010
Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains. Zbl 1308.35086
Mikhailov, Sergey E.
2013
Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients. Zbl 1073.65136
Mikhailov, S. E.
2005
Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Zbl 1208.65174
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2011
A comparative analysis of several nonlocal fracture criteria. Zbl 0927.74061
Isupov, L. P.; Mikhailov, S. E.
1998
Finite-dimensional perturbations of linear operators and some applications to boundary integral equations. Zbl 0961.65053
Mikhailov, S. E.
1999
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.
2011
Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D. Zbl 1312.65202
Grzhibovskis, Richards; Mikhailov, Sergey; Rjasanow, Sergej
2013
Analysis of boundary-domain integral equations for variable-coefficient Dirichlet BVP in 2D. Zbl 1336.65192
Dufera, T. T.; Mikhailov, S. E.
2015
Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP. Zbl 1272.47060
Ayele, T. G.; Mikhailov, S. E.
2011
BDIE system in the mixed BVP for the Stokes equations with variable viscosity. Zbl 1446.76099
Mikhailov, S. E.; Portillo, C. F.
2015
On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains. Zbl 1393.35030
Gutt, Robert; Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
2017
Analysis of some localized boundary-domian integral equations. Zbl 1175.65141
Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D.
2009
Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body. Zbl 1182.74230
Mikhailov, S. E.
2005
Singular stress behavior in a bonded hereditarily-elastic aging wedge. I: Problem statement and degenerate case. Zbl 0882.73026
Mikhailov, S. E.
1997
Singular stress behavior in a bonded hereditarily-elastic aging wedge. II: General heredity. Zbl 0882.73027
Mikhailov, S. E.
1997
About localized boundary-domain integro-differential formulations for a quasilinear problem with variable coefficients. Zbl 1060.65691
Mikhailov, Sergey E.
2004
About traces, extensions, and co-normal derivative operators on Lipschitz domains. Zbl 1217.35053
Mikhailov, S. E.
2008
Two-operator boundary – domain integral equations for a variable-coefficient BVP. Zbl 1221.35122
Ayele, T. G.; Mikhailov, S. E.
2010
Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body. Zbl 1195.74247
Mikhailov, S. E.
2006
Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
2010
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.
2017
On some weighted Hardy type classes of one-parametric holomorphic functions. II: Partial Volterra operators in parameter. Zbl 0909.30028
Mikhailov, S. E.
1998
Stress-singularity analysis in space junctions of thin plates. Zbl 0957.74017
Mikhailov, S. E.; Namestnikova, I. V.
2000
Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients. Zbl 1246.65225
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
2011
Analysis of boundary-domain integral equations for variable-coefficient Neumann BVP in 2D. Zbl 1408.45008
Ayele, T. G.; Dufera, T. T.; Mikhailov, S. E.
2017
Homogenization in integral viscoelasticity. Zbl 1016.74054
Mikhailov, S. E.; Orlik, J.
2001
Theoretical backgrounds of durability analysis by normalized equivalent stress functionals. Zbl 1048.74002
Mikhailov, S. E.
2003
History-sensitive accumulation rules for life-time prediction under variable creep loading. Zbl 1271.74407
Mikhailov, S. E.; Namestnikova, I. V.
2011
Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with a variable coefficient. Zbl 1255.65220
Mikhailov, Sergey E.; Mohamed, Nurul A.
2012
Integral equations of a cohesive zone model for history-dependent materials and their numerical solution. Zbl 1329.74252
Hakim, L.; Mikhailov, S. E.
2015
Solution of problems on the anti-plane deformation of elastic bodies with corner points by the method of integral equations. Zbl 0559.73047
Mikhaĭlov, S. E.
1985
On some weighted Hardy type classes of one-parametric holomorphic functions. I: Function properties and Mellin transforms. Zbl 0909.30027
Mikhailov, S. E.
1998
Application of finite-dimensional perturbation technique to boundary integral equations. Zbl 0929.65031
Mikhailov, S. E.
1998
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.
2011
Nonlinear Abel-type integral equation in modeling creep crack propagation. Zbl 1246.74051
Hakim, L.; Mikhailov, S. E.
2011
Homogenization methods and macro-strength of composites. Zbl 1419.74211
Mikhailov, S. E.; Orlik, J.
2002
Analysis of boundary-domain integral and integro-differential equations for a Dirichlet problem with a variable coefficient. Zbl 1096.65121
Mikhailov, Sergey E.
2006
A new family of boundary-domain integral equations for the mixed exterior stationary heat transfer problem with variable coefficient. Zbl 1406.65125
Mikhailov, S. E.; Portillo, C. F.
2017
Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. Zbl 1405.35122
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
2018
Newtonian and single layer potentials for the Stokes system with $$L^\infty$$ coefficients and the exterior Dirichlet problem. Zbl 1418.35115
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
2019
Boundary-domain integral equations for variable coefficient Dirichlet BVP in 2D unbounded domain. Zbl 1428.35117
Dufera, T. T.; Mikhailov, S. E.
2019
Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain. Zbl 1447.35141
Mikhailov, S. E.; Portillo, C. F.
2020
Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain. Zbl 1447.35141
Mikhailov, S. E.; Portillo, C. F.
2020
Newtonian and single layer potentials for the Stokes system with $$L^\infty$$ coefficients and the exterior Dirichlet problem. Zbl 1418.35115
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
2019
Boundary-domain integral equations for variable coefficient Dirichlet BVP in 2D unbounded domain. Zbl 1428.35117
Dufera, T. T.; Mikhailov, S. E.
2019
Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. Zbl 1405.35122
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
2018
On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains. Zbl 1393.35030
Gutt, Robert; Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L.
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.
2017
Analysis of boundary-domain integral equations for variable-coefficient Neumann BVP in 2D. Zbl 1408.45008
Ayele, T. G.; Dufera, T. T.; Mikhailov, S. E.
2017
A new family of boundary-domain integral equations for the mixed exterior stationary heat transfer problem with variable coefficient. Zbl 1406.65125
Mikhailov, S. E.; Portillo, C. F.
2017
Integral potential method for a transmission problem with Lipschitz interface in $$\mathbb{R}^{3}$$ for the Stokes and Darcy-Forchheimer-Brinkman PDE systems. Zbl 1368.35096
Kohr, Mirela; Lanza de Cristoforis, Massimo; Mikhailov, Sergey E.; Wendland, Wolfgang L.
2016
Analysis of boundary-domain integral equations for variable-coefficient Dirichlet BVP in 2D. Zbl 1336.65192
Dufera, T. T.; Mikhailov, S. E.
2015
BDIE system in the mixed BVP for the Stokes equations with variable viscosity. Zbl 1446.76099
Mikhailov, S. E.; Portillo, C. F.
2015
Integral equations of a cohesive zone model for history-dependent materials and their numerical solution. Zbl 1329.74252
Hakim, L.; Mikhailov, S. E.
2015
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.
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.
2013
Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains. Zbl 1308.35086
Mikhailov, Sergey E.
2013
Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D. Zbl 1312.65202
Grzhibovskis, Richards; Mikhailov, Sergey; Rjasanow, Sergej
2013
Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with a variable coefficient. Zbl 1255.65220
Mikhailov, Sergey E.; Mohamed, Nurul A.
2012
Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains. Zbl 1216.35029
Mikhailov, Sergey E.
2011
Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. Zbl 1208.65174
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D.
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.
2011
Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP. Zbl 1272.47060
Ayele, T. G.; Mikhailov, S. E.
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.
2011
History-sensitive accumulation rules for life-time prediction under variable creep loading. Zbl 1271.74407
Mikhailov, S. E.; Namestnikova, I. V.
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.
2011
Nonlinear Abel-type integral equation in modeling creep crack propagation. Zbl 1246.74051
Hakim, L.; Mikhailov, S. E.
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.
2010
Two-operator boundary – domain integral equations for a variable-coefficient BVP. Zbl 1221.35122
Ayele, T. G.; Mikhailov, S. E.
2010
Localized boundary-domain integral equation formulation for mixed type problems. Zbl 1198.35073
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David
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.
2009
Analysis of some localized boundary-domian integral equations. Zbl 1175.65141
Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D.
2009
About traces, extensions, and co-normal derivative operators on Lipschitz domains. Zbl 1217.35053
Mikhailov, S. E.
2008
Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient. Zbl 1146.35031
Mikhailov, Sergey E.
2006
Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body. Zbl 1195.74247
Mikhailov, S. E.
2006
Analysis of boundary-domain integral and integro-differential equations for a Dirichlet problem with a variable coefficient. Zbl 1096.65121
Mikhailov, Sergey E.
2006
Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem. Zbl 1073.65137
Mikhailov, S. E.; Nakhova, I. S.
2005
Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients. Zbl 1073.65136
Mikhailov, S. E.
2005
Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body. Zbl 1182.74230
Mikhailov, S. E.
2005
About localized boundary-domain integro-differential formulations for a quasilinear problem with variable coefficients. Zbl 1060.65691
Mikhailov, Sergey E.
2004
Theoretical backgrounds of durability analysis by normalized equivalent stress functionals. Zbl 1048.74002
Mikhailov, S. E.
2003
Localized boundary-domain integral formulations for problems with variable coefficients. Zbl 1016.65097
Mikhailov, S. E.
2002
Homogenization methods and macro-strength of composites. Zbl 1419.74211
Mikhailov, S. E.; Orlik, J.
2002
Homogenization in integral viscoelasticity. Zbl 1016.74054
Mikhailov, S. E.; Orlik, J.
2001
Stress-singularity analysis in space junctions of thin plates. Zbl 0957.74017
Mikhailov, S. E.; Namestnikova, I. V.
2000
Finite-dimensional perturbations of linear operators and some applications to boundary integral equations. Zbl 0961.65053
Mikhailov, S. E.
1999
A comparative analysis of several nonlocal fracture criteria. Zbl 0927.74061
Isupov, L. P.; Mikhailov, S. E.
1998
On some weighted Hardy type classes of one-parametric holomorphic functions. II: Partial Volterra operators in parameter. Zbl 0909.30028
Mikhailov, S. E.
1998
On some weighted Hardy type classes of one-parametric holomorphic functions. I: Function properties and Mellin transforms. Zbl 0909.30027
Mikhailov, S. E.
1998
Application of finite-dimensional perturbation technique to boundary integral equations. Zbl 0929.65031
Mikhailov, S. E.
1998
Singular stress behavior in a bonded hereditarily-elastic aging wedge. I: Problem statement and degenerate case. Zbl 0882.73026
Mikhailov, S. E.
1997
Singular stress behavior in a bonded hereditarily-elastic aging wedge. II: General heredity. Zbl 0882.73027
Mikhailov, S. E.
1997
Solution of problems on the anti-plane deformation of elastic bodies with corner points by the method of integral equations. Zbl 0559.73047
Mikhaĭlov, S. E.
1985
all top 5

#### Cited by 120 Authors

 15 Engineering Analysis with Boundary Elements 6 Journal of Mathematical Analysis and Applications 6 Mathematical Methods in the Applied Sciences 5 Journal of Engineering Mathematics 5 Computational Mechanics 4 Computers & Mathematics with Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Mathematical Fluid Mechanics 4 Complex Variables and Elliptic Equations 3 Journal of Integral Equations and Applications 3 Journal of Applied Mechanics and Technical Physics 2 Applicable Analysis 2 Applied Mathematics and Computation 2 Functional Analysis and its Applications 2 Integral Equations and Operator Theory 2 Journal of Differential Equations 2 Mathematische Nachrichten 2 Numerische Mathematik 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Abstract and Applied Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 European Journal of Mechanics. A. Solids 2 Communications on Pure and Applied Analysis 2 International Journal of Fracture 1 Acta Mechanica 1 Journal d’Analyse Mathématique 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 Numerical Algorithms 1 Automation and Remote Control 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Georgian Mathematical Journal 1 Discrete and Continuous Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 Complex Analysis and Operator Theory 1 Axioms 1 Transactions of A. Razmadze Mathematical Institute