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17 papers · 1 filter
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…
The relative index theorem for general first-order elliptic operators
Lashi Bandara
The relative index theorem is proved for general first-order elliptic operators that are complete and coercive at infinity over measured manifolds. This extends the original result…
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…
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…
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…
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…