Navier-Stokes方程非阻尼极限研究  

Study on the Undamped Limit of Navier-Stokes Equations

作　　者：刘爱博 王晓燕 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《应用数学进展》2024年第9期4275-4288,共14页Advances in Applied Mathematics

摘　　要：本论文对Navier-Stokes方程非阻尼极限进行了研究,即对带有阻尼项的Navier-Stokes方程解的极限行为进行研究。证明了在相同初值条件下,带有不同阻尼项的Navier-Stokes方程的解u均收敛到Navier-Stokes方程的解v。In this paper, the undamped limit of Navier-Stokes equation is studied, that is, the limit behavior of the solution of Navier-Stokes equation with damped term is studied. It is proved that the solutions of Navier-Stokes equations with different damping terms converge to the solutions of Navier-Stokes equations under the same initial value conditions.

关 键 词：带有阻尼项的Navier-Stokes方程 NAVIER-STOKES方程 解的收敛 

分 类 号：O17[理学—数学]