A singular limit for compressible rotating fluids

2010/09/09 by Feireisl, Eduard, Gallagher, Isabelle, Novotny, Antonin · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.1802

Abstract

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 2-D Navier-Stokes system in the ``horizontal'' variables containing an extra term that accounts for compressibility in the original system.

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• Incompressible limits at large Mach number for a reduced compressible MHD system
• Global strong solutions to the 3D rotating compressible Navier--Stokes--Korteweg system for large data in the critical \widehatL^p framework

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