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- W4288103675 abstract "In the present paper we study the incompressible and fast rotation limit for the barotropic Navier-Stokes equations with Coriolis force, in the case when the Mach number $rm Ma$ is large with respect to the Rossby number $rm Ro$: namely, we focus on the regime ${rm Ro}ll{rm Ma}$. For this, we follow a recent approach by Danchin and Mucha in cite{D-M} and take also a large bulk viscosity coefficient. We prove that the limit dynamics is described by an incompressible Navier-Stokes type equation, recasted in the vorticy formulation, where however an additional unknown, linked to density oscillations around a fixed constant reference state, comes into play. The proof of the convergence is based on a compensated compactness argument and on the derivation of sharp decay estimates for solutions to a heat equation with fast diffusion in time." @default.
- W4288103675 created "2022-07-28" @default.
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- W4288103675 date "2019-09-21" @default.
- W4288103675 modified "2023-09-26" @default.
- W4288103675 title "Incompressible and fast rotation limit for barotropic Navier-Stokes equations at large Mach numbers" @default.
- W4288103675 hasPublicationYear "2019" @default.
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