Global existence for the Boltzmann equation in $L^r_v L^\infty_t L^\infty_x$ spaces
Analysis of PDEs
2018-06-07 v2
Abstract
We study the Boltzmann equation near a global Maxwellian. We prove the global existence of a unique mild solution with initial data which belong to the spaces where by using the excess conservation laws and entropy inequality introduced in [5].
Keywords
Cite
@article{arxiv.1806.01692,
title = {Global existence for the Boltzmann equation in $L^r_v L^\infty_t L^\infty_x$ spaces},
author = {Koya Nishimura},
journal= {arXiv preprint arXiv:1806.01692},
year = {2018}
}
Comments
16 pages