S. Mikhailov

activity

20182021

collaborators

7 papers

math.AP2021

Non-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces

Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland

This paper is build around the stationary anisotropic Stokes and Navier-Stokes systems with an $L^{\infty}$ -tensor coefficient satisfying an ellipticity condition in terms of symmetr…

math.AP2020

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

Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland

The first aim of this paper is to develop a layer potential theory in $L_{2}$ -based weighted Sobolev spaces on Lipschitz bounded and exterior domains of $R^{n}$ , $n \geq 3$ , f…

math.AP2019

Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier-Stokes systems with $L_{\infty}$ strongly elliptic coefficient tensor

Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland

We obtain well-posedness results in $L_{p}$ -based weighted Sobolev spaces for a transmission problem for anisotropic Stokes and Navier-Stokes systems with $L_{\infty}$ strongly ellip…

math.AP2018

Analysis of Boundary-Domain Integral Equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain

S. E. Mikhailov, C. F. Portillo

A mixed boundary value problem for the partial differential equation of diffusion in an inhomogeneous medium in a Lipschitz domain is reduced to a system of direct segregated param…

math.AP2018

Singular Localised Boundary-Domain Integral Equations of Acoustic Scattering by Inhomogeneous Anisotropic Obstacle

Otar Chkadua, Sergey E. Mikhailov, David Natroshvili

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material para…

math.AP2018

Newtonian and single layer potentials for the Stokes system with $L^{\infty}$ coefficients and the exterior Dirichlet problem

Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland

A mixed variational formulation of some problems in $L^{2}$ -based Sobolev spaces is used to define the Newtonian and layer potentials for the Stokes system with $L^{\infty}$ coeffici…

Non-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces

Variational approach for layer potentials of the Stokes system with L∞​ symmetrically elliptic coefficient tensor and applications to Stokes and Navier-Stokes boundary problems

Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier-Stokes systems with L∞​ strongly elliptic coefficient tensor

Analysis of Boundary-Domain Integral Equations based on a new parametrix for the mixed diffusion BVP with variable coefficient in an interior Lipschitz domain

Singular Localised Boundary-Domain Integral Equations of Acoustic Scattering by Inhomogeneous Anisotropic Obstacle

Newtonian and single layer potentials for the Stokes system with L∞ coefficients and the exterior Dirichlet problem

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

Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier-Stokes systems with $L_{\infty}$ strongly elliptic coefficient tensor

Newtonian and single layer potentials for the Stokes system with $L^{\infty}$ coefficients and the exterior Dirichlet problem