报告题目：

Uniform time of existence of the smooth solution for 3D Euler-α equations with periodic boundary conditions.

报 告 人：

臧爱彬 教授（江西宜春学院）

报告时间：

2018年03月30日 17:00--18:00

报告地点：

理学院西北楼一楼报告厅（110）

报告摘要：

After reformulating the incompressible Euler-αequations in 3D periodic box , one obtains that there exists a unque classical solution of Euler-αequations in uniform time interval independent ofα. It is shown that the solutions of the Euler-αconverge to the corresponding solutions of Euler equations in L2 in space, uniformly in time. In the sequel, it follows that the Hs(s > n/2 + 1) solutions of Euler-αequations exist in fixed sub-interval of the maximum existing interval for Euler equations provided that initial is regular enough andαis sufficiently small.