4 papers · 1 filter
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…
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…
Newtonian and single layer potentials for the Stokes system with coefficients and the exterior Dirichlet problem
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland
A mixed variational formulation of some problems in -based Sobolev spaces is used to define the Newtonian and layer potentials for the Stokes system with coeffici…
Analysis of Boundary-Domain Integral Equations to the Mixed BVP for a Compressible Stokes System with Variable Viscosity
S. E. Mikhailov, C. F. Portillo
The mixed boundary value problem for a compressible Stokes system of partial differential equations in a bounded domain is reduced to two different systems of segregated direct Bou…