On The Behavior Of The Solutions Of The Navier-Stokes Equations At Vanishing Viscosity

Author

Roger Temam
Xiaoming Wang, Missouri University of Science and TechnologyFollow

Abstract

In this article we establish partial results concerning the convergence of the solutions of the Navier-Stokes equations to that of the Euler equations. Namely, we prove convergence on any finite interval of time, in space dimension two, under a physically reasonable assumption. We consider the flow in a channel or the flow in a general bounded domain.

Recommended Citation

R. Temam and X. Wang, "On The Behavior Of The Solutions Of The Navier-Stokes Equations At Vanishing Viscosity," Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 25, no. 3 thru 4, pp. 807 - 828, Scuola Normale Superiore - Edizioni della Normale, Jan 1997.

Comments

National Science Foundation, Grant NSF-DMS-9400615

International Standard Serial Number (ISSN)

2036-2145; 0391-173X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Scuola Normale Superiore - Edizioni della Normale, All rights reserved.

Publication Date

01 Jan 1997