Vanishing viscosity limit for an expanding domain in space |
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Authors: | James P. Kelliher Milton C. Lopes Filho Helena J. Nussenzveig Lopes |
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Affiliation: | 1. Department of Mathematics, Brown University, Box 1917, Providence, RI 02912, United States;2. IMECC, Caixa Postal 6065, University of Campinas – UNICAMP, 13083-970, Campinas, SP, Brazil |
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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 Iftimie et al. (2009) [5], Kelliher (2008) [8]. |
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Keywords: | 76D05 76B99 76C99 76D99 |
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