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arXiv:0810.3255 [math.AP]AbstractReferencesReviewsResources

Vanishing viscosity limit for an expanding domain in space

J. P. Kelliher, M. C. Lopes Filho, H. J. Nussenzveig Lopes

Published 2008-10-17Version 1

We study the limiting behavior of viscous incompressible flows when the fluid domain is allowed to expand as the viscosity vanishes. We describe precise conditions under which the limiting flow satisfies the full space Euler equations. The argument is based on truncation and on energy estimates, following the structure of the proof of Kato's criterion for the vanishing viscosity limit. This work complements previous work by the authors, see [Kelliher, Comm. Math. Phys. 278 (2008), 753-773] and [arXiv:0801.4935v1].

Comments: 23 pages, submitted for publication
Journal: Ann. IHP Anal non-Lin. 26 (2009), 2521-2537
Categories: math.AP
Subjects: 76D05, 35Q30, 35Q35
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