Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space
Analysis of PDEs
2025-08-26 v3
Abstract
In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by employing the Hilbert expansion which includes interior and Knudsen layers. This rigorously justifies the corresponding formal analysis in Sone's book \cite{Sone-2007-Book} in the context of short time smooth solutions, and also generalizes the classic Caflisch's result \cite{Caflish-1980-CPAM} to initial-boundary problem case.
Cite
@article{arxiv.2104.11964,
title = {Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space},
author = {Ning Jiang and Yi-Long Luo and Shaojun Tang},
journal= {arXiv preprint arXiv:2104.11964},
year = {2025}
}
Comments
32 pages. arXiv admin note: text overlap with arXiv:2101.11199