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.
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)
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)。
