Integral representations of solutions for two-dimensional viscous flow problems

DOI10.1007/BF01694052zbMath0484.76043MaRDI QIDQ1163931

George C. Hsiao

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

asymptotic behavioursmall Reynolds numberexistence and uniquenesssimple layer potentialtwo-dimensional steady flowcylindrical obstacle of arbitrary cross sectionflow pattern determined by system of integral equations of first kind

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fredholm integral equations (45B05)

Related Items (11)

ANALYSIS OF A HETEROGENEOUS DOMAIN DECOMPOSITION FOR COMPRESSIBLE VISCOUS FLOW ⋮ Expansions at small Reynolds numbers for the flow past a porous circular cylinder ⋮ On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods ⋮ Approximate solutions and error estimates for a Stokes boundary value problem ⋮ Stokes flow in a singularly perturbed exterior domain ⋮ Justification of the fast multipole method for the Stokes system in the case of the interior Dirichlet problem ⋮ Some applications of a galerkin‐collocation method for boundary integral equations of the first kind ⋮ On the combination of Rothe's method and boundary integral equations for the nonstationary Stokes equation ⋮ Singular perturbations for the exterior three-dimensional slow viscous flow problem ⋮ An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions ⋮ On an integral equation for the two-dimensional exterior Stokes problem

Cites Work

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• On exterior boundary value problems in linear elasticity
• On the stability of integral equations of the first kind with logarithmic kernels
• An integral equation procedure for the exterior three-dimensional slow viscous flow
• A finite element method for some integral equations of the first kind
• On a class of two-dimensional Stokes flows
• On the linearized hydrodynamical equations in two dimensions
• On the stationary solutions of the Navier-Stokes equations in two dimensions
• Singular Perturbation of an Exterior Dirichlet Problem
• Singular Perturbations for a Nonlinear Differential Equation with a Small Parameter

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