Two-dimensional Stokes–Brinkman cell model – a boundary integral formulation

DOI10.1080/00036811.2011.614604zbMath1323.76020OpenAlexW2094348350WikidataQ58245405 ScholiaQ58245405MaRDI QIDQ3225840

Elena-Maria Ului, Wolfgang L. Wendland, G. P. Raja Sekhar, Mirela Kohr

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1080/00036811.2011.614604

zbMATH Keywords

Sobolev spacesexistence and uniquenesstwo-dimensional cell modelBrinkman and Stokes equationslayer potential approach

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07)

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Cites Work

• Unnamed Item
• Dirichlet-transmission problems for general Brinkman operators on Lipschitz and \(C^1\) domains in Riemannian manifolds
• Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
• Stokes-Brinkman transmission problems on Lipschitz and \(C^1\) domains in Riemannian manifolds
• Spectral properties for layer potentials associated to the Stokes equation in Lipschitz domains
• The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains
• The Dirichlet problem for the Stokes system on Lipschitz domains
• Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains
• Stokes flow past an assemblage of slip eccentric spherical particle-in-cell models
• Boundary integral equations for a three-dimensional Brinkman flow problem
• Boundary value problems for the Stokes equations with jumps in open sets
• BOUNDARY INTEGRAL EQUATIONS FOR A THREE-DIMENSIONAL STOKES–BRINKMAN CELL MODEL
• Boundary integral equations for two-dimensional low Reynolds number flow past a porous body
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• On Stokes' Problem
• The Dirichlet problems for the Stokes resolvent equations in bounded and exterior domains in ℝⁿ
• Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.
• Integral representation of a solution of the Neumann problem for the Stokes system