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科学研究
报告题目:

Global well-posdness of Prandtl system with small analytic data

报告人:

张平 研究员(中科院数学所)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

In this paper, we prove the global well-posedness of 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 of the tangent velocity, which is based on a Poincar\'e type inequality and a subtle interplay between the tangential velocity equation and its primitive one.

Our result can be viewed as a global-in-time Cauchy-Kowalevsakya result for Prandtl system with small analytical data.