Abstract
In a recent paper, Vishik proved the global well-posedness of the two-dimensional Euler equation in the critical Besov space B2,1 2. In the present paper we prove that Navier-Stokes system is globally well-posed in B2,1 2, with uniform estimates on the viscosity. We prove also a global result of inviscid limit. The convergence rate in L2 is of order ν.
Translated title of the contribution | Inviscid limit for Navier-Stokes system in a critical space |
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Original language | French |
Pages (from-to) | 689-692 |
Number of pages | 4 |
Journal | Comptes Rendus Mathematique |
Volume | 338 |
Issue number | 9 |
DOIs | |
State | Published - May 1 2004 |
ASJC Scopus subject areas
- General Mathematics