ON THE ROBIN PROBLEM FOR STOKES AND NAVIER–STOKES SYSTEMS

DOI10.1142/S0218202506001327zbMath1096.76013MaRDI QIDQ5483421

Remigio Russo, Alfonsina Tartaglione

Publication date: 14 August 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

weak solutionLipschitz domainboundary layer potential

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (14)

Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds ⋮ On the Robin-transmission boundary value problems for the nonlinear Darcy-Forchheimer-Brinkman and Navier-Stokes systems ⋮ On the Stokes problem with data in \(L^1\) ⋮ On the existence of singular solutions of the stationary Navier-Stokes problem ⋮ Boundary integral approach for the mixed Dirichlet-Robin boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system ⋮ A Dirichlet-transmission problem for Darcy-Forchheimer-Brinkman and Navier-Stokes equations in bounded Lipschitz domain ⋮ On the lid-driven problem in a porous cavity. A theoretical and numerical approach ⋮ Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems ⋮ Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains ⋮ On the Stokes and Oseen problems with singular data ⋮ On the Navier problem for the stationary Navier-Stokes equations ⋮ Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains ⋮ On the Oseen and Navier-Stokes systems with a slip boundary condition ⋮ Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)

Cites Work

• Boundary value problems for the systems of elastostatics in Lipschitz domains
• Potential techniques for boundary value problems on \(C^1\)-domains
• The Dirichlet problem for the Stokes system on Lipschitz domains
• Stability results on interpolation scales of quasi-Banach spaces and applications
• ON THE TRACTION PROBLEM FOR THE STOKES SYSTEM
• Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.

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