On the transmission problems for the Oseen and Brinkman systems on Lipschitz domains in compact Riemannian manifolds

DOI10.1002/mana.201400365zbMath1350.58006OpenAlexW1937032662WikidataQ115405888 ScholiaQ115405888MaRDI QIDQ2798103

Robert Gutt, Wolfgang L. Wendland, Cornel Pintea, Mirela Kohr

Publication date: 1 April 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400365

zbMATH Keywords

Sobolev spacesRiemannian manifoldLipschitz domainlayer potentialsRobin-transmission problemBrinkman and Oseen systems

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stochastic analysis applied to problems in fluid mechanics (76M35) Stokes and related (Oseen, etc.) flows (76D07) Elliptic equations on manifolds, general theory (58J05)

Related Items (2)

Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds ⋮ On the Oseen-Brinkman flow around an \((m-1)\)-dimensional solid obstacle

Cites Work

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• Poisson-transmission problems for \(L^\infty\)-perturbations of the Stokes system on Lipschitz domains in compact Riemannian manifolds
• Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
• Stationary Stokes, Oseen and Navier-Stokes equations with singular data
• Boundary value problems for the systems of elastostatics in Lipschitz domains
• On the Oseen and Navier-Stokes systems with a slip boundary condition
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Boundary layer methods for Lipschitz domains in Riemannian manifolds
• Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem
• 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
• Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.
• Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains
• On the Stokes and Oseen problems with singular data
• The Stokes operator with Neumann boundary conditions in Lipschitz domains
• Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains
• Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)
• Brinkman-type operators on Riemannian manifolds: Transmission problems in Lipschitz and \(C ^{1}\) domains
• A note on the existence of solutions to the Oseen system in Lipschitz domains
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Layer Potential Analysis for Pseudodifferential Matrix Operators in Lipschitz Domains on Compact Riemannian Manifolds: Applications to Pseudodifferential Brinkman Operators
• Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.

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