Dirichlet-transmission problems for general Brinkman operators on Lipschitz and \(C^1\) domains in Riemannian manifolds

DOI10.3934/dcdsb.2011.15.999zbMath1223.58017OpenAlexW2316594846MaRDI QIDQ550334

Cornel Pintea, Wolfgang L. Wendland, Mirela Kohr

Publication date: 8 July 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2011.15.999

zbMATH Keywords

Riemannian manifoldStokes operatorBrinkman operatorDirichlet-transmission problemlayer potential operatorsLipschitz and \(C^1\) domains

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Boundary value problems on manifolds (58J32) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (7)

Neumann-transmission problems for pseudodifferential Brinkman operators on Lipschitz domains in compact Riemannian manifolds ⋮ Transmission problem for the Brinkman system ⋮ Two-dimensional Stokes–Brinkman cell model – a boundary integral formulation ⋮ Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains ⋮ Layer potential analysis for a Dirichlet‐transmission problem in Lipschitz domains in ℝⁿ ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ Dirichlet-transmission problems for pseudodifferential Brinkman operators on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian manifolds

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