Weighted estimates for the Oseen problem in \(\mathbb R^3\)

DOI10.1016/j.aml.2005.01.005zbMath1125.35074OpenAlexW2055960621MaRDI QIDQ812745

Chérif Amrouche, Ulrich Razafison

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.01.005

zbMATH Keywords

weightsSobolev spacesunbounded domainsfluid mechanicsOseen equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

On the two and three dimensional Oseen potentials ⋮ On the Oseen fundamental solution and the asymptotic profile of flows past a translating object

Cites Work

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• The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces
• Weighted Sobolev spaces for the steady scalar Oseen equation in \(\mathbb R^n\)
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
• The stationary Oseen equations in \({\mathbb{R}}^{3}\). An approach in weighted Sobolev spaces
• ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID
• Estimates of Oseen kernels in weighted \(L^p\) spaces

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