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Vanishing Shear Viscosity Limit in the Magnetohydrodynamic Equations

✍ Scribed by Jishan Fan; Song Jiang; Gen Nakamura

Publisher: Springer
Year: 2007
Tongue: English
Weight: 236 KB
Volume: 270
Category: Article
ISSN: 0010-3616
DOI: 10.1007/s00220-006-0167-1

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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