An integral equation procedure for the exterior three-dimensional slow viscous flow

DOI10.1007/BF01694049zbMath0483.76033OpenAlexW2004750798MaRDI QIDQ1163433

Thomas M. Fischer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01694049

zbMATH Keywords

integral equationsmatched asymptotic expansionssmall Reynolds numberthree-dimensionalslowobstacles of sufficiently smooth but else arbitrary shapetheories of singular perturbations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Fredholm integral equations (45B05)

Related Items (13)

ANALYSIS OF A HETEROGENEOUS DOMAIN DECOMPOSITION FOR COMPRESSIBLE VISCOUS FLOW ⋮ Boundary integral equations for a three-dimensional Brinkman flow problem ⋮ A 1D MODEL FOR A CLOSED RIGID FILAMENT IN STOKES FLOW ⋮ Integral representations of solutions for two-dimensional viscous flow problems ⋮ An integral equation of the first kind for a free boundary value problem of the stationary Stokes' equations ⋮ The boundary element method for three-dimensional Stokes flows exterior to an open surface ⋮ On two-dimensional slow viscous flows past obstacles in a half-plane ⋮ Some applications of a galerkin‐collocation method for boundary integral equations of the first kind ⋮ A boundary integral method for the numerical computation of the forces exerted on a sphere in viscous incompressible flows near a plane wall ⋮ Wall effects on the slow steady motion of a particle in a viscous incompressible fluid ⋮ Exterior stokes problems and decay at infinity ⋮ Oseen and Stokes asymptotics for the problem on stationary motion of two immiscible liquids ⋮ Singular perturbations for the exterior three-dimensional slow viscous flow problem

Cites Work

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• On the solutions of a class of equations occurring in continuum mechanics, with application to the Stokes paradox
• A finite element method for some integral equations of the first kind
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
• Singular Perturbation of an Exterior Dirichlet Problem
• An algebra of pseudo‐differential operators
• The resistance to a particle of arbitrary shape in translational motion at small Reynolds numbers

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