非等熵可压缩Navier-Stokes-Maxwell方程组Cauchy问题解的整体存在性  

Global Existence of Solutions to Cauchy Problem for Non-isentropic Compressible Navier-Stokes-Maxwell Systems

作　　者：李新[1] 冯跃红[1] 王术[1] LI Xin;FENG Yuehong;WANG Shu(College of Applied Sciences,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《北京工业大学学报》2018年第12期1567-1572,共6页Journal of Beijing University of Technology

基　　金：北京市自然科学基金资助项目(1164010;1132006);国家自然科学基金资助项目(11771031;11371042)

摘　　要：考察粘性等离子体物理中的非等熵可压缩Navier-Stokes-Maxwell方程组.借助非常数平衡解的小性以及对称子技巧,研究了三维全空间上的Cauchy问题.在初值为该平衡解的一个小摄动前提下,证明了该问题存在整体唯一光滑解.This paper is concerned with non-isentropic compressible Navier-Stokes-Maxwell systems arising from viscosity plasmas.By using techniques of symmetrizer and the smallness of non-constant steady-state solutions,the global existence of solutions to Cauchy problems with prepared initial data was investigated.It is shown that this problem admits globally smooth solutions near a non-constant steady state.

关 键 词：非等熵可压缩Navier-Stokes-Maxwell方程组 粘性等离子体 整体光滑解 非常数平衡解 

分 类 号：O175.29[理学—数学]