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arXiv · 2310.03881

Thermally driven fluid convection in the incompressible limit regime

Francesco Fanelli·Eduard Feireisl
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Abstract

We consider a scaled Navier--Stokes--Fourier system describing the motion of a compressible, heat-conducting, viscous fluid driven by inhomogeneous boundary temperature distribution together with the gravitational force of a massive object placed outside the fluid. We identify the limit system in the low Mach/low Froude number regime for the ill prepared initial data. The fluid is confined to a bounded cavity with acoustically hard boundary enhancing reflection of acoustic waves.

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Francesco Fanelli, Eduard Feireisl. 2023-10-05. Thermally driven fluid convection in the incompressible limit regime. https://doi.org/10.2140/paa.2024.6.835

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