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Mathematical Analysis of Boundary-Domain Integral Equations for Nonlinear PDEs

Funder: EPSRC
Duration: May 2015 - May 2018

People

Name Telephone Email Office
Professor Sergey Mikhailov Professor Sergey Mikhailov
Professor - Applied Mathematics and Analysis
(Principal investigator)
T: +44 (0)1895 267361
E: sergey.mikhailov@brunel.ac.uk
+44 (0)1895 267361 sergey.mikhailov@brunel.ac.uk Tower A 217

Outputs

Kohr, M., Mikhailov, S. and Wendland, WL. (2022) 'On some mixed-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces'. Journal of Mathematical Analysis and Applications, 516 (1). pp. 1 - 28. ISSN: 0022-247X Open Access Link

Journal article

Mikhailov, S. (2022) 'Periodic Solutions in R^n for Stationary Anisotropic Stokes and Navier-Stokes Systems', in Constanda, C., Bodman, B. and Harris, P. (eds.) Integral Methods in Science and Engineering Applications in Theoretical and Practical Research. Switzerland : Springer Nature. pp. 227 - 243. ISBN 10: 3031071719. ISBN 13: 9783031071713. Open Access Link

Book chapter

Mikhailov, SE. and Natroshvili, D. (2021) 'Editorial'. Mathematical Methods in the Applied Sciences, 44 (14). pp. 1 - 1. ISSN: 0170-4214 Open Access Link

Journal article

Kohr, M., Mikhailov, SE. and Wendland, WL. (2021) 'Layer potential theory for the anisotropic Stokes system with variable $L_\infty$ symmetrically elliptic tensor coefficient'. Mathematical Methods in the Applied Sciences, 44 (12). pp. 9641 - 9674. ISSN: 0170-4214 Open Access Link

Journal article

Kohr, M., Mikhailov, SE. and Wendland, WL. (2021) 'Dirichlet and transmission problems for anisotropic Stokes and Navier-Stokes systems with L tensor coefficient under relaxed ellipticity condition'. Discrete and Continuous Dynamical Systems Series A, 41 (9). pp. 4421 - 4460. ISSN: 1078-0947 Open Access Link

Journal article

Mikhailov, S. and Portillo, CF. (2021) 'Boundary-domain integral equations equivalent to an exterior mixed BVP for the variable-viscosity compressible Stokes PDEs'. Communications on Pure and Applied Analysis, 20 (3). pp. 1103 - 1133. ISSN: 1534-0392 Open Access Link

Journal article

Mikhailov, SE. and Portillo, C. (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'. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 32 (1). pp. 59 - 75. ISSN: 0897-3962 Open Access Link

Journal article

Fresneda-Portillo, C. and Mikhailov, SE. (2019) 'Analysis of Boundary-Domain Integral Equations to the Mixed BVP for a Compressible Stokes System with Variable Viscosity'. Communications on Pure and Applied Analysis, 18 (6). pp. 3059 - 3088. ISSN: 1534-0392 Open Access Link

Journal article

Kohr, M., Mikhailov, SE. and Wendland, WL. (2019) 'Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier-Stokes systems with $L_{\infty}$ strongly elliptic coefficient tensor'. Complex Variables and Elliptic Equations, 65 (1). pp. 109 - 140. ISSN: 1747-6933 Open Access Link

Journal article

Kohr, M., Mikhailov, SE. and Wendland, WL. (2019) 'Newtonian and single layer potentials for the Stokes system with L^∞ coefficients and the exterior Dirichlet problem', in Rogosin, S. and Çelebi, AO. (eds.) Analysis as a Life.. Birkhäuser. pp. 237 - 260. ISBN 10: 3030026493. ISBN 13: 9783030026493. Open Access Link

Book chapter

Mikhailov, S. and Woldemicheal, ZW. (2019) 'On united boundary-domain integro-differential equations for variable coefficient Dirichlet problem with general right hand side', in Constanda, C. and Harris, P. (eds.) Integral Methods in Science and Engineering. Analytic Treatment and Numerical Approximations. Springer Nature Switzerland AG. pp. 67 - 77. ISBN 13: 9783030160760. Open Access Link

Book chapter

Ayele, TG., Dufera, TT. and Mikhailov, S. (2019) 'Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Mixed BVP in 2D', in Lindahl, K., Lindström, T., Rodino, LG., Toft, J. and Wahlberg, P. (eds.) Analysis, Probability, Applications, and Computation. Springer Nature Switzerland. pp. 467 - 480. ISBN 13: 9783030044589. Open Access Link

Book chapter

Dufera, TT. and Mikhailov, S. (2019) 'Boundary-domain integral equations for variable coefficient Dirichlet BVP in 2D unbounded domain', in Lindahl, O., Lindström, T., Rodino, LG., Toft, J. and Wahlberg, P. (eds.) Analysis, Probability, Applications, and Computation. Springer Nature Switzerland AG. pp. 481 - 492. ISBN 13: 9783030044589. Open Access Link

Book chapter

Mikhailov, SE. (2018) 'Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains'. Boundary Value Problems, 2018 (1). pp. 87. ISSN: 1687-2762 Open Access Link

Journal article

Gutt, R., Kohr, M., Mikhailov, SE. and Wedland, WL. (2017) 'On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains'. Mathematical Methods in the Applied Sciences, 40 (18). pp. 7780 - 7829. ISSN: 0170-4214 Open Access Link

Journal article

Mikhailov, S. and Portillo, CF. (2017) 'A New Family of Boundary-Domain Integral Equations for the Mixed Exterior Stationary Heat Transfer Problem with Variable Coefficient', in Constanda, C., Dalla Riva, M., Lamberti, PD. and Mosolino, P. (eds.) Integral Methods in Science and Engineering, Volume 1 Theoretical Techniques. Birkhäuser. , 1. pp. 215 - 226. ISBN 10: 3319593846. ISBN 13: 9783319593838.

Book chapter

Ayele, TG., Dufera, TT. and Mikhailov, S. (2017) 'Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Neumann BVP in 2D', in Constanda, C., Dalla Riva, M., Lamberti, PD. and Musolino, P. (eds.) Integral Methods in Science and Engineering, Volume 1 Theoretical Techniques. Birkhäuser. , 1. pp. 21 - 33. ISBN 10: 3319593846. ISBN 13: 9783319593838. Open Access Link

Book chapter

Kohr, M., Lanza de Cristoforis, M., Mikhailov, SE. and Wendland, WL. (2016) 'Integral potential method for a transmission problem with Lipschitz interface in R^3 for the Stokes and Darcy–Forchheimer–Brinkman PDE systems'. Zeitschrift fur angewandte Mathematik und Physik ZAMP, 67 (5). ISSN: 1420-9039 Open Access Link

Journal article

Chkadua, O., Mikhailov, SE. and Natroshvili, D. (2016) 'Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second order strongly elliptic PDE systems'. Mathematical Methods in the Applied Sciences, 40 (6). pp. 1817 - 1837. ISSN: 1099-1476 Open Access Link

Journal article

Kohr, M., Mikhailov, SE. and Wendland, WL. (2016) 'Transmission Problems for the Navier–Stokes and Darcy–Forchheimer–Brinkman Systems in Lipschitz Domains on Compact Riemannian Manifolds'. Journal of Mathematical Fluid Mechanics, 19 (2). pp. 203 - 238. ISSN: 1422-6928 Open Access Link

Journal article

Dufera, TT. and Mikhailov, SE. (2015) 'Analysis of Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet BVP in 2D', in Constanda, C. and Kirsh, A. (eds.) Integral Methods in Science and Engineering Theoretical and Computational Advances. Birkhäuser. pp. 163 - 175. ISBN 10: 3319167278. ISBN 13: 9783319167275.

Book chapter

Mikhailov, S. and Portillo, CF. (2015) 'BDIE System to the Mixed BVP for the Stokes Equations with Variable Viscosity', in Constanda, C. and Kirsh, A. (eds.) Integral Methods in Science and Engineering Theoretical and Computational Advances. Birkhäuser. pp. 401 - 412. ISBN 10: 3319167278. ISBN 13: 9783319167275.

Book chapter

Mikhailov, S. and Portillo, CF. (2015) 'A New Family of Boundary-Domain Integral Equations for a Mixed Elliptic BVP with Variable Coefficient', in Harris, P. (ed.) Proceedings of the 10th UK Conference on Boundary Integral Methods, University of Brighton, UK, 13-14 July 2015. University of Brighton. pp. 76 - 84. ISBN 13: 978-1-910172-05-6. Open Access Link

Book chapter

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