The Reynolds number and large time behaviour for weak solutions of the Navier-Stokes equations

DOI10.1007/BF00953670zbMath0787.35064OpenAlexW2011345668MaRDI QIDQ1261815

Hans-Christoph Grunau

Publication date: 26 May 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00953670

zbMATH Keywords

Navier-Stokes equationsperturbationweak solutionslarge time behavioursmooth exterior domainenergetic Reynolds numberstationary PR-solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

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Cites Work

• Weighted energy methods in fluid dynamics and elasticity
• On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains
• On the stability of incompressible viscous fluid motions past objects
• On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems