Dirichlet Problem for the Stationary Navier-Stokes System on Lipschitz Domains

DOI10.1080/03605302.2011.613079zbMath1236.35102OpenAlexW2168847369MaRDI QIDQ3106550

Hi Jun Choe, Hyun-Seok Kim

Publication date: 28 December 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2011.613079

zbMATH Keywords

regularityexistenceuniquenessstationary Navier-Stokes systemLipschitz domains

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (16)

\(L^q\)-solution of the Robin problem for the Oseen system ⋮ Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds ⋮ Fundamental solutions for the Stokes equations: numerical applications for 2D and 3D flows ⋮ On the Robin-transmission boundary value problems for the nonlinear Darcy-Forchheimer-Brinkman and Navier-Stokes systems ⋮ Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domains ⋮ Boundary integral approach for the mixed Dirichlet-Robin boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system ⋮ On very weak solutions of the stationary Navier-Stokes equations ⋮ On the lid-driven problem in a porous cavity. A theoretical and numerical approach ⋮ On a Dirichlet problem for the Darcy-Forchheimer-Brinkman system with application to lid-driven porous cavity flow with internal square block ⋮ A Poisson problem of transmission-type for the Stokes and generalized Brinkman systems in complementary Lipschitz domains in \(\mathbb{R}^3\) ⋮ 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 ⋮ Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains ⋮ Weak solutions of the Robin problem for the Oseen system ⋮ On Weak Solutions of Elliptic Equations with Singular Drifts ⋮ Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)

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