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SIAM J. on Mathematical Analysis / Volume 44 / Issue 1

SIAM J. Math. Anal. 44, pp. 192-205 (14 pages)

A Singular Limit for Compressible Rotating Fluids

Eduard Feireisl, Isabelle Gallagher, and Antonín Novotný

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We consider a singular limit problem for the Navier–Stokes system of a rotating compressible fluid, where the Rossby and Mach numbers tend simultaneously to zero. The limit problem is identified as the two-dimensional (2D) Navier–Stokes system in the “horizontal” variables containing an extra term that accounts for compressibility in the original system.

© 2012 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

35Q30, 76U05, 34E15

PUBLICATION DATA

ISSN

0036-1410 (print)  
1095-7154 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received September 09, 2010
Accepted October 20, 2011
Published online January 13, 2012
Digital Object Identifier
http://dx.doi.org/10.1137/100808010

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