Weighted estimates for nonstationary Navier-Stokes equations in exterior domains

DOI10.4310/MAA.2000.v7.n3.a1zbMath1007.76012MaRDI QIDQ1601136

Cheng He, Zhouping Xin

Publication date: 19 June 2002

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessa priori estimatesstrong solutionsfundamental solutionrepresentationLaplace equationlinearized problemweighted spacesnonstationary incompressible Navier-Stokes equationsthree-dimensional exterior domaindecay estimatesingular integral theory

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)

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Asymptotic behavior for the Navier-Stokes equations in 2D exterior domains ⋮ Stability for the 3D Navier-Stokes equations with nonzero far field velocity on exterior domains ⋮ Navier-Stokes equations on exterior domains: review for the stability for the incompressible flow on exterior domains ⋮ Asymptotic behavior of the Navier-Stokes equations with nonzero far-field velocity ⋮ Decay rate of solutions of Navier-Stokes equations in 3-dimensional half space ⋮ Stokes coupling method for the exterior flow. IV: Stabilized finite element approximation ⋮ Optimal weighted estimates of the flows in exterior domains ⋮ On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain ⋮ Spatial stability of 3D exterior stationary Navier-Stokes flows ⋮ Weighted \(L^q-L^1\) estimate of the Stokes flow in the half space

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