ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS
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Publication:5291290
DOI10.1142/S0219530506000735zbMath1087.76023OpenAlexW2089480835MaRDI QIDQ5291290
Chérif Amrouche, Ulrich Razafison
Publication date: 10 May 2006
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219530506000735
PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (11)
Very weak solutions of the stationary Navier-Stokes equations for an incompressible fluid past obstacles ⋮ Lq$L^q$‐weak solutions to the time‐dependent 3D Oseen system: Decay estimates ⋮ \(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle ⋮ A class of general solutions of the unsteady Oseen equations ⋮ The scalar Oseen problem in two-dimensional exterior domains ⋮ The stationary Oseen equations in an exterior domain: an approach in weighted Sobolev spaces ⋮ Oseen resolvent estimates with small resolvent parameter ⋮ Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems ⋮ Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic coefficient tensor ⋮ \(L^q\)-estimates for the stationary Oseen equations on exterior domains ⋮ Weak solutions of the Robin problem for the Oseen system
Cites Work
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- The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces
- Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
- Weighted Sobolev spaces for the steady scalar Oseen equation in \(\mathbb R^n\)
- ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID
- Weak solutions for the exterior Stokes problem in weighted Sobolev spaces
- Estimates of Oseen kernels in weighted \(L^p\) spaces
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