Vanishing viscosity limit for an expanding domain in space
Analysis of PDEs
2010-01-11 v1
Abstract
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].
Keywords
Cite
@article{arxiv.0810.3255,
title = {Vanishing viscosity limit for an expanding domain in space},
author = {J. P. Kelliher and M. C. Lopes Filho and H. J. Nussenzveig Lopes},
journal= {arXiv preprint arXiv:0810.3255},
year = {2010}
}
Comments
23 pages, submitted for publication