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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Aibin Zang, Yichun University

Inviter: 李竞
Title:
Uniform time of existence of the smooth solution for 3D Euler-$\alpha$ equations with periodic boundary conditions
Time & Venue:
2017.12.8 16:00-17:00 N613
Abstract:
After reformulating the incompressible Euler-$\alpha$ equations in 3D periodic domain, one obtains that there exists a unique classical solution of Euler-$\alpha$ equations in uniform time interval independent of $\alpha$. It is shown that the solutions of the Euler-$\alpha$ converge to the corresponding solutions of Euler equation in $L^2$ in space, uniformly in time. It also follows that the $H^s$ $(s>\frac{n}{2}+1)$ solutions of Euler-$\alpha$ equations exist in any fixed sub-interval of the maximum existing interval for the Euler equations provided that initial velocity is regular enough and $\alpha$ is sufficiently small.
 

 

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