• 科學研究
    報告題目:

    Global well-posdness of Prandtl system with small analytic data

    報告人:

    張平 研究員(中科院數學所)

    報告時間:

    報告地點:

    理學院東北樓四樓報告廳(404)

    報告摘要:

    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.

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