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. Convergence is proved in space dimension two under a physically reasonable assumption, namely that the gradient of the pressure remains bounded at the boundary as the Reynolds number converges to infinity.
Recommended Citation
R. Temam and X. Wang, "The Convergence of the Solutions of the Navier-Stokes Equations to that of the Euler Equations," Applied Mathematics Letters, vol. 10, no. 5, pp. 29 - 33, Elsevier, Sep 1997.
The definitive version is available at https://doi.org/10.1016/S0893-9659(97)00079-7
Department(s)
Mathematics and Statistics
Keywords and Phrases
Boundary Layer; Euler Equation; Navier-Stokes Equation; Small Viscosity
International Standard Serial Number (ISSN)
0893-9659
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Elsevier, All rights reserved.
Publication Date
12 Sep 1997
Comments
National Science Foundation, Grant NSF-DMS-9400615