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Article Dans Une Revue Journal of the London Mathematical Society Année : 2014

Asymptotics of solutions to the Navier-Stokes system in exterior domains

Résumé

We consider the incompressible Navier-Stokes equations with the Dirichlet boundary condition in an exterior domain of $\mathbb{R}^n$ with $n\geq2$. We compare the long-time behaviour of solutions to this initial-boundary value problem with the long-time behaviour of solutions of the analogous Cauchy problem in the whole space $\mathbb{R}^n$. We find that the long-time asymptotics of solutions to both problems coincide either in the case of small initial data in the weak $L^{n}$-space or for a certain class of large initial data.

Dates et versions

hal-00849737 , version 1 (31-07-2013)

Identifiants

Citer

Dragos Iftimie, Grzegorz Karch, Christophe Lacave. Asymptotics of solutions to the Navier-Stokes system in exterior domains. Journal of the London Mathematical Society, 2014, 90 (3), pp.785-806. ⟨10.1112/jlms/jdu052⟩. ⟨hal-00849737⟩
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