Diffusive Expansion of the Boltzmann equation for the flow past an obstacle

Autor: Guo, Yan, Jung, Junhwa
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: The exterior domain problem is essential in fluid and kinetic equations. In this paper, we establish the validity of the diffusive expansion for the Boltzmann equations to the Navier-Stokes-Fourier system up to the critical time in an exterior domain with non-zero passing flow. We apply the $L^3-L^6$ framework to the unbounded domain in this paper.
Comment: 19 pages
Databáze: arXiv