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

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外文摘要：We investigate the global existence of strong solutions to a non-isothermal ide-al 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)3/22,1by showing that the linearized operator is a contraction mapping under the right circumstances.

外文关键词：

thermal fluid equationsenergy-variational methodwell-posedness theory for PDEparaproduct calculus

作者：

韩斌、赖宁安、Andrei TARFULEA

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作者单位：

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：

Zhejiang Province Science FundNational Science Foundation of ChinaNational Science Foundation of ChinaNational Science FoundationNational Science Foundation

项目编号：

LY21A0100091227148712171097DMS-2012333DMS-2108209

出版年：

2024

DOI：

10.1007/s10473-024-0306-9

数学物理学报(英文版)

中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD

影响因子：0.256

ISSN：0252-9602

年,卷(期)：2024.44(3)