Asymptotic stability for viscous fluid motion in exterior domains

DOI10.1007/BF01766587zbMath0632.76033MaRDI QIDQ1095735

Paolo Maremonti

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

exterior domainNavier-Stokes fluidasymptotic stability resultsenergy of perturbationsstable numerical methods

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Basic methods in fluid mechanics (76M99)

Related Items (12)

On the existence and pointwise stability of periodic solutions to a linear parabolic equation in unbounded domains ⋮ Regular solutions to the Navier-Stokes equations with an initial data in \(L(3,\infty )\) ⋮ Further properties of steady-state solutions to the Navier-Stokes problem past a three-dimensional obstacle ⋮ Stability of a steady flow of an incompressible Newtonian fluid in an exterior domain ⋮ On \(L^{3,\infty}\)-stability of the Navier-Stokes system in exterior domains ⋮ \(L^2\)-decay of solutions to the Navier-Stokes system with Navier-type boundary conditions ⋮ Partial regularity of a generalized solution to the Navier-Stokes equations in exterior domain ⋮ On the asymptotic behaviour of the \(L^ 2\)-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains ⋮ ON STABILITY OF PHYSICALLY REASONABLE SOLUTIONS TO THE TWO-DIMENSIONAL NAVIER–STOKES EQUATIONS ⋮ Existence, uniqueness and attainability of periodic solutions of the Navier-Stokes equations in exterior domains ⋮ Some results on the asymptotic behaviour of weak Hopf solutions of the Navier-Stokes equations in unbounded domains ⋮ A note on the Navier-Stokes IBVP with small data in \(L^n\)

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