Generically sharp decay for quasilinear wave equations with null condition
2023-05-10 10:00:00
2023-05-10 10:00:00
2023-05-10 10:00:00
Speaker : 10:00AM, Ma Siyuan
Time : 2023-05-10 10:00:00
Location : May
Title: Generically sharp decay for quasilinear wave equations with null condition
Speaker: Ma Siyuan (Institute of Mathematics, Chinese Academy of Sciences)
Time: May 10, 2023, 10:00 am-12:00 pm
Venue: Room 1220, Building 2, Haina Court, Zijingang Campus
Abstract: We are interested in the three-dimensional quasilinear wave equations with the null condition. global existence and pointwise decay for this model global existence and pointwise decay for this model have been proved in the celebrated works of Klainerman and Christodoulou for small smooth initial data. We illustrate the precise pointwise asymptotic behavior of the solutions for initial data posed on a hyperboloid and show that the decay rate $v^{-1}u^{-1}$ is optimal for a generic set of initial data. This is joint work with Shijie Dong, Yue Ma, and Xu Yuan.
Contact: Wang Chengbo (wangcbo@zju.edu.cn)