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- W3199045230 abstract "<abstract><p>In the present paper, we study a multiscale limit for the barotropic Navier-Stokes system with Coriolis and gravitational forces, for vanishing values of the Mach, Rossby and Froude numbers ($ {rm{Ma}} $, $ {rm{Ro}} $ and $ {rm{Fr}} $, respectively). The focus here is on the effects of gravity: albeit remaining in a low stratification regime $ {rm{Ma}}/{rm{Fr}}, rightarrow, 0 $, we consider scaling for the Froude number which go beyond the critical value $ {rm{Fr, = , sqrt{rm{Ma}}}} $. The rigorous derivation of suitable limiting systems for the various choices of the scaling is shown by means of a compensated compactness argument. Exploiting the precise structure of the gravitational force is the key to get the convergence.</p></abstract>" @default.
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- W3199045230 date "2022-01-01" @default.
- W3199045230 modified "2023-10-14" @default.
- W3199045230 title "On the influence of gravity in the dynamics of geophysical flows" @default.
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- W3199045230 doi "https://doi.org/10.3934/mine.2023008" @default.
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