Mikhailov, Sergey E. Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier-Stokes Equations: I. Existence. arXiv:2402.05792 Preprint, arXiv:2402.05792 [math.AP] (2024). MSC: 35B10 35K45 35Q30 76D05 BibTeX Cite \textit{S. E. Mikhailov}, ``Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier-Stokes Equations: I. Existence'', Preprint, arXiv:2402.05792 [math.AP] (2024) Full Text: arXiv OA License
Mikhailov, Sergey E. Stationary anisotropic Stokes, Oseen and Navier-Stokes systems: periodic solutions in \(\mathbb{R}^n\). (English) Zbl 07783892 Math. Methods Appl. Sci. 46, No. 9, 10903-10928 (2023). MSC: 35J57 35A01 35A02 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Math. Methods Appl. Sci. 46, No. 9, 10903--10928 (2023; Zbl 07783892) Full Text: DOI arXiv OA License
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Non-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces. (English) Zbl 1504.35152 Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 198, 47 p. (2022). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J57 35Q30 46E35 76M30 PDFBibTeX XMLCite \textit{M. Kohr} et al., Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 198, 47 p. (2022; Zbl 1504.35152) Full Text: DOI arXiv
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. On some mixed-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces. (English) Zbl 1498.35226 J. Math. Anal. Appl. 516, No. 1, Article ID 126464, 28 p. (2022). Reviewer: Giovanni Anello (Messina) MSC: 35J47 35Q30 35J57 PDFBibTeX XMLCite \textit{M. Kohr} et al., J. Math. Anal. Appl. 516, No. 1, Article ID 126464, 28 p. (2022; Zbl 1498.35226) Full Text: DOI
Chkadua, Otar; Mikhailov, Sergey; Natroshvili, David Localized boundary-domain singular integral equations of the Robin type problem for self-adjoint second-order strongly elliptic PDE systems. (English) Zbl 1473.35158 Georgian Math. J. 28, No. 5, 695-715 (2021). MSC: 35J25 35E99 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Georgian Math. J. 28, No. 5, 695--715 (2021; Zbl 1473.35158) Full Text: DOI Link
Mikhailov, Sergey E. (ed.); Natroshvili, David (ed.) Editorial. (English) Zbl 1477.00072 Math. Methods Appl. Sci. 44, No. 14, 10919 (2021). MSC: 00B25 35-06 74-06 76-06 PDFBibTeX XMLCite \textit{S. E. Mikhailov} (ed.) and \textit{D. Natroshvili} (ed.), Math. Methods Appl. Sci. 44, No. 14, 10919 (2021; Zbl 1477.00072) Full Text: DOI
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Layer potential theory for the anisotropic Stokes system with variable \(L_{\infty}\) symmetrically elliptic tensor coefficient. (English) Zbl 1482.35088 Math. Methods Appl. Sci. 44, No. 12, 9641-9674 (2021). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J25 35Q35 42B20 46E35 PDFBibTeX XMLCite \textit{M. Kohr} et al., Math. Methods Appl. Sci. 44, No. 12, 9641--9674 (2021; Zbl 1482.35088) Full Text: DOI
Mikhailov, Sergey E.; Portillo, Carlos F. Boundary-domain integral equations equivalent to an exterior mixed BVP for the variable-viscosity compressible Stokes PDEs. (English) Zbl 1469.31013 Commun. Pure Appl. Anal. 20, No. 3, 1103-1133 (2021). MSC: 31B10 35Q30 35J25 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{C. F. Portillo}, Commun. Pure Appl. Anal. 20, No. 3, 1103--1133 (2021; Zbl 1469.31013) Full Text: DOI
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Dirichlet and transmission problems for anisotropic Stokes and Navier-Stokes systems with \(L_\infty\) tensor coefficient under relaxed ellipticity condition. (English) Zbl 1473.35216 Discrete Contin. Dyn. Syst. 41, No. 9, 4421-4460 (2021). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J57 35Q30 46E35 76M30 76D03 76D05 76D07 PDFBibTeX XMLCite \textit{M. Kohr} et al., Discrete Contin. Dyn. Syst. 41, No. 9, 4421--4460 (2021; Zbl 1473.35216) Full Text: DOI
Mikhailov, Sergey E. Periodic Solutions in \(\mathbb R^n\) for Stationary Anisotropic Stokes and Navier-Stokes Systems. arXiv:2111.04170 Preprint, arXiv:2111.04170 [math.AP] (2021). MSC: 35J57 35Q30 76Dxx 76Mxx BibTeX Cite \textit{S. E. Mikhailov}, ``Periodic Solutions in $\mathbb R^n$ for Stationary Anisotropic Stokes and Navier-Stokes Systems'', Preprint, arXiv:2111.04170 [math.AP] (2021) Full Text: DOI arXiv OA License
Mikhailov, S. E.; Portillo, C. F. Analysis of boundary-domain integral equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain. (English) Zbl 1447.35141 J. Integral Equations Appl. 32, No. 1, 59-75 (2020). Reviewer: Paolo Musolino (Padova) MSC: 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{C. F. Portillo}, J. Integral Equations Appl. 32, No. 1, 59--75 (2020; Zbl 1447.35141) Full Text: DOI arXiv Euclid
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier-Stokes systems with \(L_ \infty\) strongly elliptic coefficient tensor. (English) Zbl 1467.35131 Complex Var. Elliptic Equ. 65, No. 1, 109-140 (2020). Reviewer: Said El Manouni (Berlin) MSC: 35J25 35Q35 42B20 46E35 PDFBibTeX XMLCite \textit{M. Kohr} et al., Complex Var. Elliptic Equ. 65, No. 1, 109--140 (2020; Zbl 1467.35131) Full Text: DOI arXiv
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Variational approach for layer potentials of the Stokes system with \(L_{\infty }\) symmetrically elliptic coefficient tensor and applications to Stokes and Navier-Stokes boundary problems. arXiv:2002.09990 Preprint, arXiv:2002.09990 [math.AP] (2020). MSC: 35J57 35Q30 31Cxx 46E35 76Dxx 76Mxx BibTeX Cite \textit{M. Kohr} et al., ``Variational approach for layer potentials of the Stokes system with $L_{\infty }$ symmetrically elliptic coefficient tensor and applications to Stokes and Navier-Stokes boundary problems'', Preprint, arXiv:2002.09990 [math.AP] (2020) Full Text: arXiv OA License
Fresneda-Portillo, Carlos; Mikhailov, Sergey E. Analysis of boundary-domain integral equations to the mixed BVP for a compressible Stokes system with variable viscosity. (English) Zbl 1481.35181 Commun. Pure Appl. Anal. 18, No. 6, 3059-3088 (2019). MSC: 35J57 45F15 45P05 PDFBibTeX XMLCite \textit{C. Fresneda-Portillo} and \textit{S. E. Mikhailov}, Commun. Pure Appl. Anal. 18, No. 6, 3059--3088 (2019; Zbl 1481.35181) Full Text: DOI arXiv
Mikhailov, Sergey E.; Musolino, Paolo; Orlik, Julia Rescaling and trace operators in fractional Sobolev spaces on bounded Lipschitz domains with periodic structure. (English) Zbl 07215946 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 237-251 (2019). MSC: 47-XX 35Bxx 74Qxx 46E35 PDFBibTeX XMLCite \textit{S. E. Mikhailov} et al., in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 237--251 (2019; Zbl 07215946) Full Text: DOI Link
Mikhailov, Sergey E.; Woldemicheal, Zenebe W. On united boundary-domain integro-differential equations for variable coefficient Dirichlet problem with general right-hand side. (English) Zbl 07215945 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 225-235 (2019). MSC: 47Gxx 35Jxx 45Axx 31Bxx 45Pxx PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{Z. W. Woldemicheal}, in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 225--235 (2019; Zbl 07215945) Full Text: DOI Link
Dufera, T. T.; Mikhailov, S. E. Boundary-domain integral equations for variable coefficient Dirichlet BVP in 2D unbounded domain. (English) Zbl 1428.35117 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 481-492 (2019). MSC: 35J25 35A01 35A02 PDFBibTeX XMLCite \textit{T. T. Dufera} and \textit{S. E. Mikhailov}, in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 481--492 (2019; Zbl 1428.35117) Full Text: DOI Link
Ayele, T. G.; Dufera, T. T.; Mikhailov, S. E. Analysis of boundary-domain integral equations for variable-coefficient mixed BVP in 2D. (English) Zbl 1428.35114 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 467-480 (2019). MSC: 35J25 PDFBibTeX XMLCite \textit{T. G. Ayele} et al., in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 467--480 (2019; Zbl 1428.35114) Full Text: DOI
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Newtonian and single layer potentials for the Stokes system with \(L^\infty\) coefficients and the exterior Dirichlet problem. (English) Zbl 1418.35115 Rogosin, Sergei (ed.) et al., Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 237-260 (2019). MSC: 35J25 35Q35 42B20 46E35 PDFBibTeX XMLCite \textit{M. Kohr} et al., in: Analysis as a life. Dedicated to Heinrich Begehr on the occasion of his 80th birthday. Cham: Birkhäuser. 237--260 (2019; Zbl 1418.35115) Full Text: DOI arXiv
Mikhailov, Sergey E. Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains. (English) Zbl 1499.35226 Bound. Value Probl. 2018, Paper No. 87, 52 p. (2018). MSC: 35J25 31B10 45K05 35R09 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Bound. Value Probl. 2018, Paper No. 87, 52 p. (2018; Zbl 1499.35226) Full Text: DOI arXiv
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David Singular localised boundary-domain integral equations of acoustic scattering by inhomogeneous anisotropic obstacle. (English) Zbl 1405.35122 Math. Methods Appl. Sci. 41, No. 17, 8033-8058 (2018). MSC: 35P25 47G40 35J25 35J05 35R05 45F15 35S05 35J20 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Math. Methods Appl. Sci. 41, No. 17, 8033--8058 (2018; Zbl 1405.35122) Full Text: DOI arXiv
Mikhailov, S. E.; Portillo, C. F. A new family of boundary-domain integral equations for the mixed exterior stationary heat transfer problem with variable coefficient. (English) Zbl 1406.65125 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer (ISBN 978-3-319-59383-8/hbk; 978-3-319-59384-5/ebook). 215-226 (2017). MSC: 65N38 35K05 80A20 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{C. F. Portillo}, in: Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 215--226 (2017; Zbl 1406.65125) Full Text: DOI
Ayele, T. G.; Dufera, T. T.; Mikhailov, S. E. Analysis of boundary-domain integral equations for variable-coefficient Neumann BVP in 2D. (English) Zbl 1408.45008 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer. 21-33 (2017). MSC: 45P05 35J25 65N38 PDFBibTeX XMLCite \textit{T. G. Ayele} et al., in: Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 21--33 (2017; Zbl 1408.45008) Full Text: DOI Link
Gutt, Robert; Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains. (English) Zbl 1393.35030 Math. Methods Appl. Sci. 40, No. 18, 7780-7829 (2017). Reviewer: Marcelo Furtado (Brasília) MSC: 35J25 42B20 46E35 PDFBibTeX XMLCite \textit{R. Gutt} et al., Math. Methods Appl. Sci. 40, No. 18, 7780--7829 (2017; Zbl 1393.35030) Full Text: DOI arXiv Link
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds. (English) Zbl 1464.58007 J. Math. Fluid Mech. 19, No. 2, 203-238 (2017). MSC: 58J05 35J25 42B20 46E35 35A01 35A02 58C30 PDFBibTeX XMLCite \textit{M. Kohr} et al., J. Math. Fluid Mech. 19, No. 2, 203--238 (2017; Zbl 1464.58007) Full Text: DOI arXiv
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems. (English) Zbl 1368.35093 Math. Methods Appl. Sci. 40, No. 6, 1817-1837 (2017). MSC: 35J25 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Math. Methods Appl. Sci. 40, No. 6, 1817--1837 (2017; Zbl 1368.35093) Full Text: DOI arXiv
Kohr, Mirela; Lanza de Cristoforis, Massimo; Mikhailov, Sergey E.; Wendland, Wolfgang L. Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems. (English) Zbl 1368.35096 Z. Angew. Math. Phys. 67, No. 5, Article ID 116, 30 p. (2016). Reviewer: David Kapanadze (Tbilisi) MSC: 35J25 35Q35 42B20 46E35 76D03 PDFBibTeX XMLCite \textit{M. Kohr} et al., Z. Angew. Math. Phys. 67, No. 5, Article ID 116, 30 p. (2016; Zbl 1368.35096) Full Text: DOI arXiv
Mikhailov, S. E.; Portillo, C. F. BDIE system in the mixed BVP for the Stokes equations with variable viscosity. (English) Zbl 1446.76099 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer. 401-412 (2015). MSC: 76D07 35G15 35K05 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{C. F. Portillo}, in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 401--412 (2015; Zbl 1446.76099) Full Text: DOI
Dufera, T. T.; Mikhailov, S. E. Analysis of boundary-domain integral equations for variable-coefficient Dirichlet BVP in 2D. (English) Zbl 1336.65192 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-16726-8/hbk; 978-3-319-16727-5/ebook). 163-175 (2015). MSC: 65N38 35J25 35S15 PDFBibTeX XMLCite \textit{T. T. Dufera} and \textit{S. E. Mikhailov}, in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 163--175 (2015; Zbl 1336.65192) Full Text: DOI
Hakim, L.; Mikhailov, S. E. Integral equations of a cohesive zone model for history-dependent materials and their numerical solution. (English) Zbl 1329.74252 Q. J. Mech. Appl. Math. 68, No. 4, 387-419 (2015). MSC: 74R10 74R20 74B05 74D05 PDFBibTeX XMLCite \textit{L. Hakim} and \textit{S. E. Mikhailov}, Q. J. Mech. Appl. Math. 68, No. 4, 387--419 (2015; Zbl 1329.74252) Full Text: DOI arXiv
Mikhailov, Sergey E. Analysis of Segregated Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet and Neumann Problems with General Data. arXiv:1509.03501 Preprint, arXiv:1509.03501 [math.AP] (2015). MSC: 35J25 31B10 45K05 45A05 BibTeX Cite \textit{S. E. Mikhailov}, ``Analysis of Segregated Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet and Neumann Problems with General Data'', Preprint, arXiv:1509.03501 [math.AP] (2015) Full Text: arXiv OA License
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized boundary-domain integral equations approach for Robin type problem for second order strongly elliptic systems with variable coefficients. (English) Zbl 1290.35076 Proc. A. Razmadze Math. Inst. 162, 45-58 (2013). MSC: 35J47 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Proc. A. Razmadze Math. Inst. 162, 45--58 (2013; Zbl 1290.35076)
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains. (English) Zbl 1273.45007 Anal. Appl., Singap. 11, No. 4, Article ID 1350006, 33 p. (2013). MSC: 45P05 45A05 35J25 31B10 47G10 47G40 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Anal. Appl., Singap. 11, No. 4, Article ID 1350006, 33 p. (2013; Zbl 1273.45007) Full Text: DOI
Grzhibovskis, Richards; Mikhailov, Sergey; Rjasanow, Sergej Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D. (English) Zbl 1312.65202 Comput. Mech. 51, No. 4, 495-503 (2013). MSC: 65N38 65N35 65N12 PDFBibTeX XMLCite \textit{R. Grzhibovskis} et al., Comput. Mech. 51, No. 4, 495--503 (2013; Zbl 1312.65202) Full Text: DOI Link
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients. (English) Zbl 1276.35067 Integral Equations Oper. Theory 76, No. 4, 509-547 (2013). MSC: 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Integral Equations Oper. Theory 76, No. 4, 509--547 (2013; Zbl 1276.35067) Full Text: DOI
Mikhailov, Sergey E. Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains. (English) Zbl 1308.35086 J. Math. Anal. Appl. 400, No. 1, 48-67 (2013). MSC: 35J47 35J57 35B65 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, J. Math. Anal. Appl. 400, No. 1, 48--67 (2013; Zbl 1308.35086) Full Text: DOI arXiv
Chkadua, O.; Mikhailov, S.; Natroshvili, D. Localized boundary-domain integral equations approach for Dirichlet problem for second order strongly elliptic systems with variable coefficients. (English) Zbl 1279.35032 Proc. A. Razmadze Math. Inst. 160, 11-23 (2012). MSC: 35J47 35J25 31B10 45K05 45A05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Proc. A. Razmadze Math. Inst. 160, 11--23 (2012; Zbl 1279.35032) Full Text: Link
Mikhailov, Sergey E.; Mohamed, Nurul A. Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with a variable coefficient. (English) Zbl 1255.65220 Int. J. Comput. Math. 89, No. 11, 1488-1503 (2012). MSC: 65N38 31A10 45A05 45C05 65R20 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{N. A. Mohamed}, Int. J. Comput. Math. 89, No. 11, 1488--1503 (2012; Zbl 1255.65220) Full Text: DOI
Mikhailov, S. E.; Namestnikova, I. V. History-sensitive accumulation rules for life-time prediction under variable creep loading. (English) Zbl 1271.74407 Arch. Appl. Mech. 81, No. 11, 1679-1696 (2011). MSC: 74R99 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{I. V. Namestnikova}, Arch. Appl. Mech. 81, No. 11, 1679--1696 (2011; Zbl 1271.74407) Full Text: DOI Link
Ayele, T. G.; Mikhailov, S. E. Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP. (English) Zbl 1272.47060 Eurasian Math. J. 2, No. 3, 20-41 (2011). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 47G30 35J25 31B10 45P05 45A05 47G10 47G40 PDFBibTeX XMLCite \textit{T. G. Ayele} and \textit{S. E. Mikhailov}, Eurasian Math. J. 2, No. 3, 20--41 (2011; Zbl 1272.47060) Full Text: MNR
Hakim, L.; Mikhailov, S. E. Nonlinear Abel-type integral equation in modeling creep crack propagation. (English) Zbl 1246.74051 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12–14, 2010. Basel: Birkhäuser (ISBN 978-0-8176-8237-8/hbk; 978-0-8176-8238-5/ebook). 191-201 (2011). MSC: 74R99 74S30 PDFBibTeX XMLCite \textit{L. Hakim} and \textit{S. E. Mikhailov}, in: Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12--14, 2010. Basel: Birkhäuser. 191--201 (2011; Zbl 1246.74051) Full Text: DOI Link
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains. (English) Zbl 1246.65226 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12–14, 2010. Basel: Birkhäuser (ISBN 978-0-8176-8237-8/hbk; 978-0-8176-8238-5/ebook). 109-128 (2011). MSC: 65N38 PDFBibTeX XMLCite \textit{O. Chkadua} et al., in: Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12--14, 2010. Basel: Birkhäuser. 109--128 (2011; Zbl 1246.65226) Full Text: DOI
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients. (English) Zbl 1246.65225 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12–14, 2010. Basel: Birkhäuser (ISBN 978-0-8176-8237-8/hbk; 978-0-8176-8238-5/ebook). 91-108 (2011). MSC: 65N38 PDFBibTeX XMLCite \textit{O. Chkadua} et al., in: Integral methods in science and engineering. Computational and analytic aspects. Selected papers of the 11th international conference on integral methods in science and engineering (IMSE 2010), Brighton, UK, July 12--14, 2010. Basel: Birkhäuser. 91--108 (2011; Zbl 1246.65225) Full Text: DOI
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Localized direct segregated boundary-domain integral equations for variable coefficient transmission problems with interface crack. (English) Zbl 1235.35098 Mem. Differ. Equ. Math. Phys. 52, 17-64 (2011). MSC: 35J25 35Q74 35S15 45E05 74R10 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Mem. Differ. Equ. Math. Phys. 52, 17--64 (2011; Zbl 1235.35098)
Chkadua, O.; Mikhailov, S.; Natroshvili, D. Localized boundary-domain integral equation method for the Dirichlet boundary value problems for second order elliptic equations with variable coefficients. (English) Zbl 1235.35097 Proc. A. Razmadze Math. Inst. 155, 100-102 (2011). MSC: 35J25 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Proc. A. Razmadze Math. Inst. 155, 100--102 (2011; Zbl 1235.35097)
Mikhailov, Sergey E. Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains. (English) Zbl 1216.35029 J. Math. Anal. Appl. 378, No. 1, 324-342 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 35J57 35B60 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, J. Math. Anal. Appl. 378, No. 1, 324--342 (2011; Zbl 1216.35029) Full Text: DOI Link
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks. (English) Zbl 1208.65174 Numer. Methods Partial Differ. Equations 27, No. 1, 121-140 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Numer. Methods Partial Differ. Equations 27, No. 1, 121--140 (2011; Zbl 1208.65174) Full Text: DOI
Chkadua, Otar; Mikhailov, Sergey E.; Natroshvili, David Localized boundary-domain integral equation formulation for mixed type problems. (English) Zbl 1198.35073 Georgian Math. J. 17, No. 3, 469-494 (2010). MSC: 35J25 31B10 45K05 45A05 35S05 35C15 PDFBibTeX XMLCite \textit{O. Chkadua} et al., Georgian Math. J. 17, No. 3, 469--494 (2010; Zbl 1198.35073) Full Text: DOI
Ayele, T. G.; Mikhailov, S. E. Two-operator boundary – domain integral equations for a variable-coefficient BVP. (English) Zbl 1221.35122 Constanda, C. (ed.) et al., Integral methods in science and engineering. Volume 1: Analytic methods. Papers presented at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7–10, 2008. Basel: Birkhäuser (ISBN 978-0-8176-4898-5/hbk; 978-0-8176-4899-2/ebook). 29-39 (2010). Reviewer: Pierpaolo Omari (Trieste) MSC: 35J25 45P05 47G10 35J08 47N20 PDFBibTeX XMLCite \textit{T. G. Ayele} and \textit{S. E. Mikhailov}, in: Integral methods in science and engineering. Volume 1: Analytic methods. Papers presented at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7--10, 2008. Basel: Birkhäuser. 29--39 (2010; Zbl 1221.35122) Full Text: DOI
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics. (English) Zbl 1194.65142 J. Integral Equations Appl. 22, No. 1, 19-37 (2010). MSC: 65N38 35J25 PDFBibTeX XMLCite \textit{O. Chkadua} et al., J. Integral Equations Appl. 22, No. 1, 19--37 (2010; Zbl 1194.65142) Full Text: DOI
Chkadua, O.; Mikhailov, S. E.; Natroshvili, D. Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility. (English) Zbl 1204.65139 J. Integral Equations Appl. 21, No. 4, 499-543 (2009). MSC: 65N38 35J25 80A20 PDFBibTeX XMLCite \textit{O. Chkadua} et al., J. Integral Equations Appl. 21, No. 4, 499--543 (2009; Zbl 1204.65139) Full Text: DOI
Chkadua, O.; Mikhailov, S. E.; Natroshvilli, D. Analysis of some localized boundary-domian integral equations. (English) Zbl 1175.65141 J. Integral Equations Appl. 21, No. 3, 407-447 (2009). Reviewer: Daniel Lesnic (Leeds) MSC: 65N38 PDFBibTeX XMLCite \textit{O. Chkadua} et al., J. Integral Equations Appl. 21, No. 3, 407--447 (2009; Zbl 1175.65141)
Mikhailov, S. E. About traces, extensions, and co-normal derivative operators on Lipschitz domains. (English) Zbl 1217.35053 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Techniques and applications. Papers presented at the 9th international conference on integral methods in science and engineering (IMSE 2006), Niagara Falls, Ontario, Canada. July 23–27, 2006. Boston, MA: Birkhäuser (ISBN 978-0-8176-4670-7/hbk). 149-160 (2008). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 35J15 35J05 46E35 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, in: Integral methods in science and engineering. Techniques and applications. Papers presented at the 9th international conference on integral methods in science and engineering (IMSE 2006), Niagara Falls, Ontario, Canada. July 23--27, 2006. Boston, MA: Birkhäuser. 149--160 (2008; Zbl 1217.35053) Full Text: DOI
Mikhailov, S. E. Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body. (English) Zbl 1195.74247 Eng. Anal. Bound. Elem. 30, No. 3, 218-226 (2006). MSC: 74S15 74C05 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Eng. Anal. Bound. Elem. 30, No. 3, 218--226 (2006; Zbl 1195.74247) Full Text: DOI
Mikhailov, Sergey E. Incremental localized boundary-domain integro-differential equations of elastic damage mechanics for inhomogeneous body. (English) Zbl 1180.74053 Sladek, Jan (ed.) et al., Advances in meshless methods. Forsyth, GA: Tech Science Press (ISBN 0-9717880-2-2/hbk). 105-123 (2006). MSC: 74R20 74R05 74S30 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, in: Advances in meshless methods. Forsyth, GA: Tech Science Press. 105--123 (2006; Zbl 1180.74053)
Mikhailov, Sergey E. Analysis of boundary-domain integral and integro-differential equations for a Dirichlet problem with a variable coefficient. (English) Zbl 1096.65121 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and practical aspects. Selected papers based on the presentation at the 8th international conference, Orlando, FL, USA, August 2–5, 2004. Boston: Birkhäuser (ISBN 0-8176-4377-X/hbk). 161-176 (2006). MSC: 65N38 35J25 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, in: Integral methods in science and engineering. Theoretical and practical aspects. Selected papers based on the presentation at the 8th international conference (IMSE 2004), Orlando, FL, USA, August 2--5, 2004. Boston: Birkhäuser. 161--176 (2006; Zbl 1096.65121)
Mikhailov, Sergey E. Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient. (English) Zbl 1146.35031 Math. Methods Appl. Sci. 29, No. 6, 715-739 (2006). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35J25 34K30 47G10 45K05 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Math. Methods Appl. Sci. 29, No. 6, 715--739 (2006; Zbl 1146.35031) Full Text: DOI
Mikhailov, S. E. Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body. (English) Zbl 1182.74230 Eng. Anal. Bound. Elem. 29, No. 11, 1008-1015 (2005). MSC: 74S15 74B20 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Eng. Anal. Bound. Elem. 29, No. 11, 1008--1015 (2005; Zbl 1182.74230) Full Text: DOI
Mikhailov, S. E. Will the boundary(-domain) integral-equation methods survive? Preface to the special issue on non-traditional boundary (-domain) integral-equation methods. (English) Zbl 1079.74660 J. Eng. Math. 51, No. 3, 197-198 (2005). MSC: 74S15 65N38 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, J. Eng. Math. 51, No. 3, 197--198 (2005; Zbl 1079.74660) Full Text: DOI
Mikhailov, S. E.; Nakhova, I. S. Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem. (English) Zbl 1073.65137 J. Eng. Math. 51, No. 3, 251-259 (2005). MSC: 65N38 35J25 65F50 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{I. S. Nakhova}, J. Eng. Math. 51, No. 3, 251--259 (2005; Zbl 1073.65137) Full Text: DOI
Mikhailov, S. E. Localized direct boundary-domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficients. (English) Zbl 1073.65136 J. Eng. Math. 51, No. 3, 283-302 (2005). MSC: 65N38 35J65 65H10 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, J. Eng. Math. 51, No. 3, 283--302 (2005; Zbl 1073.65136) Full Text: DOI
Mikhailov, Sergey E. About localized boundary-domain integro-differential formulations for a quasilinear problem with variable coefficients. (English) Zbl 1060.65691 Constanda, C. (ed.) et al., Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7–10, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3228-X/hbk). 139-144 (2004). MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, in: Integral methods in science and engineering. Analytic and numerical techniques. Papers from the 7th international conference (IMSE 2002), University of Saint Étienne, Saint Étienne, France, August 7--10, 2002. Boston, MA: Birkhäuser. 139--144 (2004; Zbl 1060.65691)
Mikhailov, S. E.; Orlik, J. Homogenization of fatigue and creep durability of composites. (English) Zbl 1201.74097 PAMM, Proc. Appl. Math. Mech. 2, 420-421 (2003). MSC: 74E30 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{J. Orlik}, PAMM, Proc. Appl. Math. Mech. 2, 420--421 (2003; Zbl 1201.74097) Full Text: DOI
Mikhailov, S. E. Theoretical backgrounds of durability analysis by normalized equivalent stress functionals. (English) Zbl 1048.74002 Math. Mech. Solids 8, No. 2, 105-142 (2003). MSC: 74A45 74A10 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Math. Mech. Solids 8, No. 2, 105--142 (2003; Zbl 1048.74002) Full Text: DOI Link
Mikhailov, S. E.; Orlik, J. Homogenization methods and macro-strength of composites. (English) Zbl 1419.74211 PAMM, Proc. Appl. Math. Mech. 1, 411-413 (2002). MSC: 74Q05 74A40 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{J. Orlik}, PAMM, Proc. Appl. Math. Mech. 1, 411--413 (2002; Zbl 1419.74211) Full Text: DOI
Blackledge, J. M.; Mikhailov, S.; Turner, M. J. Fractal modulation and other applications from a theory of the statistics of dimension. (English) Zbl 1030.94011 Barnsley, Michael F. et al., Fractals in multimedia. Based on a minisymposium held as part of the IMA annual program on mathematics in multimedia, Minneapolis, MN, USA, January 2001. New York, NY: Springer. IMA Vol. Math. Appl. 132, 175-195 (2002). MSC: 94A12 28A80 62M10 94A14 60G50 94A08 68U10 PDFBibTeX XMLCite \textit{J. M. Blackledge} et al., IMA Vol. Math. Appl. 132, 175--195 (2002; Zbl 1030.94011)
Mikhailov, S. E. Localized boundary-domain integral formulations for problems with variable coefficients. (English) Zbl 1016.65097 Eng. Anal. Bound. Elem. 26, No. 8, 681-690 (2002). MSC: 65N38 35J25 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Eng. Anal. Bound. Elem. 26, No. 8, 681--690 (2002; Zbl 1016.65097) Full Text: DOI
Mikhailov, S. E.; Orlik, J. Homogenization in integral viscoelasticity. (English) Zbl 1016.74054 ZAMM, Z. Angew. Math. Mech. 81, Suppl. 4, 983-984 (2001). MSC: 74Q05 74D05 35B27 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{J. Orlik}, ZAMM, Z. Angew. Math. Mech. 81, 983--984 (2001; Zbl 1016.74054)
Mikhailov, S. E. Non-local strength conditions based on generalized \(\delta_c\) cohesive models. (English) Zbl 0986.74064 ZAMM, Z. Angew. Math. Mech. 80, Suppl. 2, S483-S486 (2000). MSC: 74R99 74G70 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, ZAMM, Z. Angew. Math. Mech. 80, S483--S486 (2000; Zbl 0986.74064) Full Text: DOI
Mikhailov, S. E.; Namestnikova, I. V. Stress-singularity analysis in space junctions of thin plates. (English) Zbl 0957.74017 J. Eng. Math. 37, No. 4, 327-341 (2000). MSC: 74G70 74K30 74K20 74G10 PDFBibTeX XMLCite \textit{S. E. Mikhailov} and \textit{I. V. Namestnikova}, J. Eng. Math. 37, No. 4, 327--341 (2000; Zbl 0957.74017) Full Text: DOI
Mikhailov, S. E. Finite-dimensional perturbations of linear operators and some applications to boundary integral equations. (English) Zbl 0961.65053 Eng. Anal. Bound. Elem. 23, No. 10, 805-813 (1999). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J10 74B05 74S15 47A05 47A53 47A55 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Eng. Anal. Bound. Elem. 23, No. 10, 805--813 (1999; Zbl 0961.65053) Full Text: DOI
Mikhailov, S. E. Application of finite-dimensional perturbation technique to boundary integral equations. (English) Zbl 0929.65031 Kassab, A. (ed.) et al., Boundary elements XX. 20th world conference on the boundary element method, held in Orlando, FL, USA, August 1998. Southampton: CMP, Computational Mechanics Publications. International Series on Advances in Boundary Elements. 4, 321-332 (1998). MSC: 65J10 65N38 35J25 47A50 47A53 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, in: Boundary elements XX. 20th world conference on the Boundary element method, held in Orlando, FL, USA, August 1998. Southampton: CMP, Computational Mechanics Publications. 321--332 (1998; Zbl 0929.65031)
Isupov, L. P.; Mikhailov, S. E. A comparative analysis of several nonlocal fracture criteria. (English) Zbl 0927.74061 Arch. Appl. Mech. 68, No. 9, 597-612 (1998). MSC: 74R99 74K20 PDFBibTeX XMLCite \textit{L. P. Isupov} and \textit{S. E. Mikhailov}, Arch. Appl. Mech. 68, No. 9, 597--612 (1998; Zbl 0927.74061) Full Text: DOI Link
Mikhailov, S. E. On some weighted Hardy type classes of one-parametric holomorphic functions. II: Partial Volterra operators in parameter. (English) Zbl 0909.30028 J. Math. Anal. Appl. 222, No. 2, 374-396 (1998). Reviewer: Lu Jian-Ke (Wuhan) MSC: 30D55 45D05 47G10 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, J. Math. Anal. Appl. 222, No. 2, 374--396 (1998; Zbl 0909.30028) Full Text: DOI
Mikhailov, S. E. On some weighted Hardy type classes of one-parametric holomorphic functions. I: Function properties and Mellin transforms. (English) Zbl 0909.30027 J. Math. Anal. Appl. 222, No. 2, 339-364 (1998). Reviewer: Lu Jian-Ke (Wuhan) MSC: 30D55 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, J. Math. Anal. Appl. 222, No. 2, 339--364 (1998; Zbl 0909.30027) Full Text: DOI
Mikhailov, S. E. Singular stress behavior in a bonded hereditarily-elastic aging wedge. II: General heredity. (English) Zbl 0882.73027 Math. Methods Appl. Sci. 20, No. 1, 31-45 (1997). Reviewer: Gh.Gr.Ciobanu (Iaşi) MSC: 74D99 74S30 35B40 45D05 45K05 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Math. Methods Appl. Sci. 20, No. 1, 31--45 (1997; Zbl 0882.73027)
Mikhailov, S. E. Singular stress behavior in a bonded hereditarily-elastic aging wedge. I: Problem statement and degenerate case. (English) Zbl 0882.73026 Math. Methods Appl. Sci. 20, No. 1, 13-30 (1997). Reviewer: Gh.Gr.Ciobanu (Iaşi) MSC: 74D99 74S30 35B40 45D05 45K05 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Math. Methods Appl. Sci. 20, No. 1, 13--30 (1997; Zbl 0882.73026) Full Text: DOI
Blackledge, J. M.; Foxon, B.; Mikhailov, S. Fractal dimension segmentation. (English) Zbl 0872.68184 Blackledge, J. M. (ed.), Image processing: Mathematical methods and applications. Based on the 1st IMA conference, Cranfield Univ., Cranfield, GB, September 1994. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 61, 249-289 (1997). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{J. M. Blackledge} et al., Inst. Math. Appl. Conf. Ser., New Ser. 61, 249--289 (1997; Zbl 0872.68184)
Mikhailov, S. E. Analysis of singular stress asymptotics in bonded hereditarily-elastic aging bodies. (English) Zbl 0925.73091 Z. Angew. Math. Mech. 76, Suppl. 5, 339-340 (1996). MSC: 74B10 35Q72 35B40 PDFBibTeX XMLCite \textit{S. E. Mikhailov}, Z. Angew. Math. Mech. 76, 339--340 (1996; Zbl 0925.73091)
Mikhaĭlov, S. E. Solution of problems on the anti-plane deformation of elastic bodies with corner points by the method of integral equations. (English. Russian original) Zbl 0559.73047 J. Appl. Math. Mech. 47, 783-788 (1985); translation from Prikl. Mat. Mekh. 47, 981-987 (1983). MSC: 74B20 74K15 74G70 45L05 PDFBibTeX XMLCite \textit{S. E. Mikhaĭlov}, J. Appl. Math. Mech. 47, 783--788 (1985; Zbl 0559.73047); translation from Prikl. Mat. Mekh. 47, 981--987 (1983) Full Text: DOI
Mikhaĭlov, S. E.; Osokin, A. E. Construction of a fundamental solution for an anisotropic aging medium of the hereditary type. (English. Russian original) Zbl 0587.73015 Sov. Phys., Dokl. 29, 78-80 (1984); translation from Dokl. Akad. Nauk SSSR 274, 292-295 (1984). MSC: 74E10 PDFBibTeX XMLCite \textit{S. E. Mikhaĭlov} and \textit{A. E. Osokin}, Sov. Phys., Dokl. 29, 78--80 (1984; Zbl 0587.73015); translation from Dokl. Akad. Nauk SSSR 274, 292--295 (1984)