王者体育

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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:

zhangping yanjiuyuan(zhongkeyuanshuxuesuo)

报告时间:

报告地点:

王者体育lixueyuandongbeilousiloubaogaoting(404)

报告摘要:

王者体育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.

王者体育our result can be viewed as a global-in-time cauchy-kowalevsakya result for prandtl system with small analytical data.

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