43 citations · 193 across the 16 of their papers we have counts for
16 papers
Stationary Anisotropic Stokes, Oseen, and Navier-Stokes Systems: Periodic Solutions in
Sergey E. Mikhailov
First, the solution uniqueness, existence and regularity for stationary anisotropic (linear) Stokes and generalised Oseen systems with constant viscosity coefficients in a compress…
Periodic Solutions in for Stationary Anisotropic Stokes and Navier-Stokes Systems
Sergey E. Mikhailov
First, the solution uniqueness and existence of a stationary anisotropic (linear) Stokes system with constant viscosity coefficients in a compressible framework on -dimensional…
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 -tensor coefficient satisfying an ellipticity condition in terms of symmetr…
Variational approach for layer potentials of the Stokes system with 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 -based weighted Sobolev spaces on Lipschitz bounded and exterior domains of , , f…
Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier-Stokes systems with strongly elliptic coefficient tensor
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland
We obtain well-posedness results in -based weighted Sobolev spaces for a transmission problem for anisotropic Stokes and Navier-Stokes systems with strongly ellip…
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…