English

Global existence of strong solution to non-isothermal ideal gas system

Analysis of PDEs 2022-03-17 v1

Abstract

This paper aims to establish the global existence of strong solutions to a non-isothermal ideal gas model. We first show global well-posedness in the Sobolev space H2(R3)H^2(\mathbb{R}^3) by using energy estimates. We then prove the global well-posedness for small-data solutions in the critical Besov space by using Banach's fixed point theorem.

Keywords

Cite

@article{arxiv.2203.08365,
  title  = {Global existence of strong solution to non-isothermal ideal gas system},
  author = {Bin Han and Ning-An Lai and Andrei Tarfulea},
  journal= {arXiv preprint arXiv:2203.08365},
  year   = {2022}
}