Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains

DOI10.1007/BF01197597zbMath0855.35099MaRDI QIDQ1924984

Reinhard Farwig, Hermann Sohr

Publication date: 27 October 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

exterior domaininstationary Navier-Stokes equationsweighted estimatessuitable weak solutionsweighted energy inequality

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

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Cites Work

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• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
• Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Weighted energy inequalities for the navier-stokes equations in exterior domains