The global existence of strong solutions for a non-isothermal ideal gas system

Authors

Bin Han, Hangzhou Dianzi University
Ningan Lai, Zhejiang Normal University
Andrei Tarfulea, Louisiana State University

Document Type

Article

Publication Date

5-1-2024

Abstract

We investigate the global existence of strong solutions to a non-isothermal ideal gas model derived from an energy variational approach. We first show the global well-posedness in the Sobolev space H² (ℝ³) for solutions near equilibrium through iterated energy-type bounds and a continuity argument. We then prove the global well-posedness in the critical Besov space B˙2,1^3/2 by showing that the linearized operator is a contraction mapping under the right circumstances.

Publication Source (Journal or Book title)

Acta Mathematica Scientia

First Page

865

Last Page

886

Recommended Citation

Han, B., Lai, N., & Tarfulea, A. (2024). The global existence of strong solutions for a non-isothermal ideal gas system. Acta Mathematica Scientia, 44 (3), 865-886. https://doi.org/10.1007/s10473-024-0306-9