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On the vanishing viscosity limit for two-dimensional Navier–Stokes equations with singlular initial data

✍ Scribed by Carlo Marchioro

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
290 KB
Volume
12
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 the vortex model.

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