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  目: Well-posedness in Gevrey function space for the Prandtl equations

 

报告人:李维喜   教授  武汉大学

 

摘  要:  In this talk, we consider the three-dimensional Prandtl equations, and prove that if one component of the tangential velocity field satisfies the monotonicity assumption in the normal direction, then the system is locally well-posed in the Gevrey function space with Gevrey index in ]1, 2]. The proof relies on some new cancellation mechanism in the system in addition to those observed in the two-dimensional setting.  Joint work with Tong Yang.

 

  间:  2018年5月7日(周一) 16:00-17:00

 

  点: 蒙民伟楼1105室

 

邀请人: 栗付才  老师