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学术讲座【Navier-Stokes equation and forward-backward stochastic differential system in the Besov spaces】

时间:2013-05-22浏览:327设置

时间:2013年05月23日(周四)16:00-17:00

地点:旗山校区理工楼统计实验室109

主讲:葡萄牙里斯本大学 陈昕博士

主办:数学与计算机科学学院

报告摘要:In this talk, the Navier-Stokes equation on R_d (d > 3) formulated on Besov spaces is considered. Using a stochastic forward-backward differential system, the local existence of a unique solution in B_{p,p}^r with r > 1 + d /p is obtained. We also show the convergence to solution of the Euler equation when the viscosity tends to zero. Moreover, we prove the local existence of a unique solution in B_{p,p}^r, with p > 1, q\ge1 and r > max(1; d/p ); here the maximal time interval depends on the viscosity.

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