A SINGULAR LIMIT FOR COMPRESSIBLE ROTATING FLUIDS

摘要

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.