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考虑拉伸项的三维可压缩非等温液晶流的静态解
Stationary Solutions of a Three-Dimensional Compressible Non-isothermal Liquid Crystal Flows Considering a Stretching Term
【摘要】 本文在三维空间中研究了考虑拉伸项和外力作用下的可压缩非等温液晶流的静态解问题.通过压缩映照原理,在特定的函数空间中,证明了方程组强解的存在唯一性.
【Abstract】 In this paper,the stationary solutions of compressible non-isothermal liquid crystal flows considering stretching terms and external forces are investigated in three dimension.By means of the principle of contraction mapping,the existence of strong solutions of the system of equations is proved to be unique in a specific function space.
【关键词】 液晶方程组;
可压非等温流;
静态解;
存在唯一性;
【Key words】 Liquid crystal equations; Non-isothermal compressible flow; Stationary solution; Existence and uniqueness;
【Key words】 Liquid crystal equations; Non-isothermal compressible flow; Stationary solution; Existence and uniqueness;
【基金】 山西省回国留学人员科研资助项目(2021-029)
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,2026年01期
- 【分类号】O753.2;O175
- 【下载频次】4