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The convergence of the solutions of the Navier-Stokes equations to that of the Euler equations

✍ Scribed by R. Temam; X. Wang

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 273 KB
Volume: 10
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(97)00079-7

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✦ Synopsis

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.

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