Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
李维喜 教授,武汉大学
Inviter:
王勇 博士
Title:
Well-posedness in Gevrey function space for the three-dimensional Prandtl equations
Time & Venue:
2018.12.10 14:00 N613
Abstract:
In the talk, we study 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.