THE GLOBAL EXISTENCE OF STRONG SOLUTIONS FOR A NON-ISOTHERMAL IDEAL GAS SYSTEM  

作　　者：韩斌 赖宁安 Andrei TARFULEA Bin HAN;Ningan LAI;Andrei TARFULEA;Corresponding author:(Department of Mathematics,Hangzhou Dianzi University,Hangzhou,310018,China;School of Mathematical Sciences,Zhejiang Normal University,Jinhua,321004,China;Department of Mathematics,Louisiana State University,Baton Rouge,70803,USA)

机构地区：[1]Department of Mathematics,Hangzhou Dianzi University,Hangzhou,310018,China [2]School of Mathematical Sciences,Zhejiang Normal University,Jinhua,321004,China [3]Department of Mathematics,Louisiana State University,Baton Rouge,70803,USA

出　　处：《Acta Mathematica Scientia》2024年第3期865-886,共22页数学物理学报（B辑英文版）

基　　金：partially supported by the Zhejiang Province Science Fund(LY21A010009);partially supported by the National Science Foundation of China(12271487,12171097);partially supported by the National Science Foundation(DMS-2012333,DMS-2108209)。

摘　　要：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 wellposedness in the Sobolev space H^(2)(R^(3)) 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^(3/2)_(2,1) by showing that the linearized operator is a contraction mapping under the right circumstances.

关 键 词：thermal fluid equations energy-variational method well-posedness theory for PDE paraproduct calculus 

分 类 号：O175[理学—数学]