A singular limit for compressible rotating fluids

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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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