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Global well-posedness and regularity of weak solutions to the Prandtl's System
报告人:张立群教授,中国科学院数学与系统科学研究院 时间:2023年5月19号(周五)15:30-16:20 字号:

报告地点:行健楼学术活动室665

邀请人:尹会成教授 

摘要:We shall talk about the study on the global solution to the two-dimensional Prandtl's system for unsteady boundary layers in the class considered by Oleinik provided that the pressure is favorable. First, by using a different method from our earlier works, we gave a direct proof of existence of a global weak solution by a direct BV estimate. Then we prove the uniqueness and continuous dependence on data of such a weak solution to the initial-boundary value problem. Finally, we

show the smoothness of the weak solutions and then the global existence of smooth solutions.This is a jointed work with Zhou Ping Xin and Jun Ning Zhao.



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