A REMARK ON THE INVISCID LIMIT FOR 2-DIMENSIONAL INCOMPRESSIBLE FLUIDS

Authors
CHEMIN JY
Citation
Jy. Chemin, A REMARK ON THE INVISCID LIMIT FOR 2-DIMENSIONAL INCOMPRESSIBLE FLUIDS, Communications in partial differential equations, 21(11-12), 1996, pp. 1771-1779
Citations number
12
Categorie Soggetti
Mathematics,"Mathematics, Pure",Mathematics,Mathematics
Journal title
Communications in partial differential equations → ACNP
ISSN journal
03605302
Volume
21
Issue
11-12
Year of publication
1996
Pages
1771 - 1779
Database
ISI
SICI code
0360-5302(1996)21:11-12<1771:AROTIL>2.0.ZU;2-J
Abstract
In this article, we shall study the inviscid limit of two dimensional fluids with bounded vorticity. We prove that the solution of incompres sible Navier-Stokes system converges strongly in L(2) to the solution of the Euler incompressible system in the case of two-dimensional flui ds in the whole space.