4 papers
Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier-Stokes Equations: II. Serrin-Type Solutions
Sergey E. Mikhailov
We consider evolution (non-stationary) space-periodic solutions to the -dimensional non-linear Navier-Stokes equations of anisotropic fluids with the viscosity coefficient tenso…
Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier-Stokes Equations: I. Existence
Sergey E. Mikhailov
We consider evolution (non-stationary) space-periodic solutions to the -dimensional non-linear Navier-Stokes equations of anisotropic fluids with the viscosity coefficient tenso…
On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains
R. Gutt, M. Kohr, S. E. Mikhailov +1
The purpose of this paper is to study the mixed Dirichlet-Neumann boundary value problem for the semilinear Darcy-Forchheimer-Brinkman system in -based Besov spaces on a bound…
Localized Boundary-Domain Singular Integral Equations of Dirichlet Problem for Self-adjoint Second Order Strongly Elliptic PDE Systems
O. Chkadua, S. E. Mikhailov, D. Natroshvili
The paper deals with the three-dimensional Dirichlet boundary value problem (BVP) for a second order strongly elliptic self-adjoint system of partial differential equations in the…