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Uniform time of existence of the smooth solution for 3D Euler-α equations with periodic boundary conditions.
发布时间:2018-03-27     点击次数:
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-α equations in 3D periodic box , one obtains that there exists a unque classical solution of Euler-α equations in uniform time interval independent of α. It is shown that the solutions of the Euler-α converge 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-α equations exist in fixed sub-interval of the maximum existing interval for Euler equations provided that initial is regular enough and α is sufficiently small.

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