Variational boundary integral equations for the Stokes system§

DOI10.1080/00036810600963961zbMath1111.35037OpenAlexW1992857439MaRDI QIDQ3423633

Wolfgang L. Wendland, Mirela Kohr

Publication date: 14 February 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810600963961

zbMATH Keywords

boundary integral equationcoercivenessLipschitz boundariesSobolev-Slobodetskii spacesfast multipole boundary element methodStokes boundary layer potentials

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Boundary element methods applied to problems in fluid mechanics (76M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

On the well-posedness of two boundary-domain integral equation systems equivalent to the Dirichlet problem for the Stokes system with variable viscosity ⋮ Boundary integral equations for a three-dimensional Brinkman flow problem ⋮ Invertibility properties of singular integral operators associated with the Lamé and Stokes systems on infinite sectors in two dimensions ⋮ Boundary integral approach for the mixed Dirichlet-Robin boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system ⋮ The planar Dirichlet problem for the Stokes equations ⋮ Justification of the fast multipole method for the Stokes system in the case of the interior Dirichlet problem ⋮ BOUNDARY INTEGRAL EQUATIONS FOR A THREE-DIMENSIONAL STOKES–BRINKMAN CELL MODEL ⋮ Boundary-domain integral equations equivalent to an exterior mixed BVP for the variable-viscosity compressible Stokes PDEs ⋮ Analysis of boundary-domain integral equations to the mixed BVP for a compressible Stokes system with variable viscosity ⋮ On the dual-mixed formulation for an exterior Stokes problem

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