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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
【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.
【Abstract】 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;
【Key words】 non-isentropic compressible Navier-Stokes-Maxwell systems; viscosity plasmas; global smooth solution; non-constant steady-state solution;
【Key words】 non-isentropic compressible Navier-Stokes-Maxwell systems; viscosity plasmas; global smooth solution; non-constant steady-state solution;
【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)
- 【文献出处】 北京工业大学学报 ,Journal of Beijing University of Technology , 编辑部邮箱 ,2018年12期
- 【分类号】O175;O53
- 【被引频次】1
- 【下载频次】84