THE CONVERGENCE OF THE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS TO THAT OF THE EULER EQUATIONS

Authors
TEMAM R WANG X
Citation
R. Temam et X. Wang, THE CONVERGENCE OF THE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS TO THAT OF THE EULER EQUATIONS, Applied mathematics letters, 10(5), 1997, pp. 29-33
Citations number
25
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
10
Issue
5
Year of publication
1997
Pages
29 - 33
Database
ISI
SICI code
0893-9659(1997)10:5<29:TCOTSO>2.0.ZU;2-K
Abstract
In this article, we establish partial results concerning the convergen ce of the solutions of the Navier-Stokes equations to that of the Eule r equations. Convergence is proved in space dimension two under a phys ically reasonable assumption, namely that the gradient of the pressure remains bounded at the boundary as the Reynolds number converges to i nfinity.