An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions

DOI10.1007/BF02568383zbMath0734.35077MaRDI QIDQ810752

Werner Varnhorn

Publication date: 1991

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155594

zbMATH Keywords

boundary integral equationspotential theoretic methodsresolvent problemStokes-system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Navier-Stokes equations (35Q30)

Related Items

Boundary integral equations for a three-dimensional Brinkman flow problem, Existence and uniqueness result for the problem of viscous flow in a granular material with a void, Existence and uniqueness result for two-dimensional porous media flows with porous inclusions based on Brinkman equation, Boundary value problems for the Stokes equations with jumps in open sets, The planar Dirichlet problem for the Stokes equations, Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems, A mixed boundary value problem for the unsteady Stokes system in a bounded domain in \(\mathbb{R}^n\), Integral representation of a solution of the Neumann problem for the Stokes system, Boundary integral equations for two-dimensional low Reynolds number flow past a porous body, Asymptotic expansion of the solution of a transmission problem for the Stokes system with a small boundary perturbation for an inclusion, Asymptotic formula for the solution of the Stokes problem with a small perturbation of the domain in two and three dimensions, On the boundedness of the Stokes semigroup in two-dimensional exterior domains

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