Vanishing viscosity limit for an expanding domain in space

Author(s)

Kelliher, James P. ^[1] ; Lopes Filho, Milton C. ^[2] ; Nussenzveig Lopes, Helena J. ^[2]

Affiliation

^[1] Brown Univ, Dept Math, Providence, RI 02912 - USA

^[2] Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP - Brazil

• Document type: Journal article
• Source: ANNALES DE L' INSTITUT HENRI POINCARÉ-ANALYSE NON LINÉAIRE; v. 26, n. 6, p. 2521-2537, NOV-DEC 2009.
• Web of Science Citations: 6

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]. (C) 2009 Elsevier Masson SAS. All rights reserved. (AU)

• FAPESP's process: 07/51490-7 - Mathematical aspects of incompressible fluid dynamics
• Grantee: Milton da Costa Lopes Filho
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 07/03713-7 - James Kelliher | Brown University - United States
• Grantee: Milton da Costa Lopes Filho
• Support Opportunities: Research Grants - Visiting Researcher Grant - International