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On the Two-Dimensional Euler Equations with Spatially Almost Periodic Initial Data

✍ Scribed by Yasushi Taniuchi; Tomoya Tashiro; Tsuyoshi Yoneda

Book ID: 105761092
Publisher: Springer
Year: 2009
Tongue: English
Weight: 232 KB
Volume: 12
Category: Article
ISSN: 1422-6928
DOI: 10.1007/s00021-009-0304-7

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## Abstract We study the solutions of the Navier–Stokes equations when the initial vorticity is concentrated in small disjoint regions of diameter ϵ. We prove that they converge, uniformily in ϵ. for vanishing viscosity to the corresponding solutions of the Euler equations and they are connected to