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arXiv · 2303.10074

Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system

Danica Basarić·Nilasis Chaudhuri
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Abstract

We consider the Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat-conducting fluid on a domain perforated by tiny holes. First, we identify a class of dissipative solutions to the Oberbeck-Boussinesq approximation as a low Mach number limit of the primitive system. Secondly, by proving the weak-strong uniqueness principle, we obtain strong convergence to the target system on the lifespan of the strong solution.

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Danica Basarić, Nilasis Chaudhuri. 2023-03-17. Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system. https://arxiv.org/abs/2303.10074

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