二维不可压缩Navier-Stokes-Landau-Lifshitz方程组的全局强解  

Global Strong Solutions for the Incompressible Navier-Stokes-Landau-Lifshitz System in 2-Dimension

作　　者：刘楠 任永华 张建文 LIU Nan;REN Yonghua;ZHANG Jianwen(College of Mathematics,Taiyuan University of Technology,Jinzhong 030600,China)

机构地区：[1]太原理工大学数学学院,山西晋中030600

出　　处：《应用数学》2024年第1期148-158,共11页Mathematica Applicata

基　　金：山西省国际合作基地与平台项目(202104041101019)。

摘　　要：本文在二维光滑有界区域中研究不可压缩的Navier-Stokes-Landau-Lifshitz方程组的初边值问题.在初始密度包含真空的情况下,证明在具有任意大的初始速度以及初始时刻宏观分子取向力梯度变化适当小的条件下,该问题全局强解的存在唯一性.In this paper,the initial boundary value problem of incompressible Navier-StokesLandau-Lifshitz equations is studied in two dimensional smooth bounded regions.Under the condition that the initial density includes vacuum,the existence and uniqueness of the global strong solution of the problem is proved under the condition that the initial velocity is arbitrarily large and the change of macroscopic molecular orientation force gradient is appropriately small at the initial time.

关 键 词：不可压缩Navier-Stokes-Landau-Lifshitz方程组 全局强解 存在唯一性 

分 类 号：O175.4[理学—数学]