Logo

Global Existence and Decay of Solutions to Prandtl System with Small Analytic Data 128

0cf832ebccfc7488bbf1a75b4e6e619b44ad28c8

Speaker

Ping Zhang, Chinese Academy of Sciences, China

Time

2020.05.19 10:30-11:30

Venue

Online—ZOOM APP

ZOOM Info

Conference ID: 945-336-67200
PIN Code: 217532

Abstarct

In this paper, we prove the global existence and the large time decay estimate of solutions to Prandtl system with small initial data, which is analytical in the tangential variable.

The key ingredient used in the proof is to derive sufficiently fast decay-in-time estimate of some weighted analytic energy estimate to a quantity, which consists of a linear combination of the tangential velocity with its primitive one, and which basically controls the evolution of the analytical radius to the solutions. Our result can be viewed as a global-in-time Cauchy-Kowalevsakya result for Prandtl system with small analytical data. This is a joint work with M. Paicu.

Bio

张平:现任中科院数学与系统科学研究院,数学研究所所长;自1987年入南京大学至1997年博士毕业; 曾在中科院数学所, 纽约大学Courant研究所做博士后; 1999年入职中科院数学与系统科学研究院, 曾任华罗庚纯粹数学首席研究员; 中国科学院大学长江特聘教授。

他曾获第十届中国青年科技奖;国家自然科学二等奖;国家科技部青年领军人才;中国数学会陈省身奖等。

他的主要研究领域包括: 不可压缩Navier-Stokes方程等粘性不可压缩流体力学方程组和非线性Shrodinger 方程的半经典极限等。

Sponsors

Video