三维变密度不可压缩Navier-Stokes-Landau-Lifshitz方程组的整体强解  

Global strong solutions of three-dimensional incompressible Navier-Stokes-Landau-Lifstz equations with variable density

作　　者：刘新 张建文 任永华 LIU Xin;ZHANG Jianwen;REN Yonghua(College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)

机构地区：[1]太原理工大学数学学院,山西太原030024

出　　处：《纯粹数学与应用数学》2024年第3期465-474,共10页Pure and Applied Mathematics

基　　金：国家自然科学基金(11872264);山西省国际合作基地与平台项目(202104041101019).

摘　　要：研究在给定‖∇u_(0)‖L^(2)+‖Δd_(0)‖L^(2)适当小以及密度ρ可能有较大振动时,运用能量方法以及局部解的存在性和全局性先验估计,证明三维变密度不可压缩Navier-Stokes-Landau-Lifshitz方程组的局部解可以延拓到时刻T,从而得到了其强解的整体存在性.When the given ‖∇u_(0)‖L^(2)+‖Δd_(0)‖L^(2) is properly small allowing large fluctuation of density,it is proved that the local solution of the three-dimensional variable density incompressible Navier-Stokes-Landau-Lifstz equations can be extended beyond the time T by using the energy method.Moreover,we obtain the global existence of its strong solution.

关 键 词：Navier-Stokes-Landau-Lifshitz 整体强解 不可压缩 

分 类 号：O175.2[理学—数学]