In a recent paper (Arch. Rational Mech. Anal. 145(3) (1998), 197-214), 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 the Navier-Stokes system is globally well-posed in B 2,1 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.
|Original language||English (US)|
|Number of pages||14|
|State||Published - 2007|
- Inviscid limit
- Navier-Stokes and Euler equations
- Vorticity flows
ASJC Scopus subject areas