%0 Journal Article
%T Navier-Stokes方程非阻尼极限研究<br>Study on the Undamped Limit of Navier-Stokes Equations
%A 刘爱博
%A 王晓燕
%J Advances in Applied Mathematics
%P 4275-4288
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/aam.2024.139408
%X 本论文对Navier-Stokes方程非阻尼极限进行了研究&#65292;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&#65292;带有不同阻尼项的Navier-Stokes方程的解<i>u</i>均收敛到Navier-Stokes方程的解<i>v</i>。<br>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.
%K 带有阻尼项的Navier-Stokes方程&#65292
%K Navier-Stokes方程&#65292
%K 解的收敛<br>Navier-Stokes Equations with Damping Terms
%K Navier-Stokes Equations
%K Convergence of Solutions
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=96537