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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