We consider the Navier-Stokes-Fourier system for a heat conducting compressible fluid under the effects of rotation and stratification. We investigate the low Mach, Rossby and Froude number limit towards a quasi geostrophic balance in a stratification range between the so-called low and strong stratification regimes. The limit is studied in the context of weak solutions with ill-prepared initial data.
Between low and strong stratification regimes for rotating heat-conducting fluids / Caggio, Matteo; Sbaiz, Gabriele. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 266:(2026), pp. "-"-"-". [Epub ahead of print] [10.1016/j.na.2025.114043]
Between low and strong stratification regimes for rotating heat-conducting fluids
Sbaiz, Gabriele
2026-01-01
Abstract
We consider the Navier-Stokes-Fourier system for a heat conducting compressible fluid under the effects of rotation and stratification. We investigate the low Mach, Rossby and Froude number limit towards a quasi geostrophic balance in a stratification range between the so-called low and strong stratification regimes. The limit is studied in the context of weak solutions with ill-prepared initial data.File in questo prodotto:
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