Very weak solutions for the stationary Oseen and Navier-Stokes equations

DOI10.1016/j.crma.2009.12.021zbMath1186.35133OpenAlexW2085818987MaRDI QIDQ961014

Chérif Amrouche, Maria Angeles Rodríguez-Bellido

Publication date: 29 March 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.12.021

zbMATH Keywords

existenceNavier-Stokes equationsOseen equationsvery weak solutions

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) Weak solutions to PDEs (35D30)

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Cites Work

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• A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\)
• Existence and regularity of very weak solutions of the stationary Navier-Stokes equations
• Solvability of the Navier-Stokes system with \(L^2\) boundary data
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension

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