Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system
Analysis of PDEs
2024-02-13 v2
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.
Keywords
Cite
@article{arxiv.2303.10074,
title = {Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system},
author = {Danica Basarić and Nilasis Chaudhuri},
journal= {arXiv preprint arXiv:2303.10074},
year = {2024}
}