Artículos de revistas
Vanishing viscosity limit for an expanding domain in space
Registro en:
Annales De L Institut Henri Poincare-analyse Non Lineaire. Gauthier-villars/editions Elsevier, v. 26, n. 6, n. 2521, n. 2537, 2009.
0294-1449
WOS:000272561600023
10.1016/j.anihpc.2009.07.007
Autor
Kelliher, JP
Lopes, MC
Lopes, HJN
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) 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]. (C) 2009 Elsevier Masson SAS. All rights reserved. 26 6 2521 2537 NSF [DMS-0705586] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) IMECC-UNICAMP [2007/03713-7] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) NSF [DMS-0705586] CNPq [303301/2007-4, 302214/2004-6] FAPESP [2007/51490-7] IMECC-UNICAMP [2007/03713-7]