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(张平)Long time well-posdness of Prandtl system with small and analytic initial data
2014-09-09 | 编辑:

  论文题目:Long time well-posdness of Prandtl system with small and analytic initial data

  论文作者:PING ZHANG(张平), ZHIFEI ZHANG

  文章介绍:

  In this paper, we investigate the long time existence and uniqueness of small solution to $d,$ for $d=2,3,$ dimensional Prandtl system with small initial data which is analytic in the horizontal variables. In particular, we prove that

  $d$ dimensional Prandtl system has a unique solution with the life-span of which is greater than $\e^{-\f43}$ if both the initial data and the value on the boundary of the tangential velocity of the outflow are of size $\e.$ We mention that the tool developed in \cite{Ch04, CGP} to make the analytical type estimates and the special structure of the nonlinear terms to this system play an essential role in the proof of this result.

  所属学科:偏微分方程

  所属实验室或研究中心:数学所

  论文:http://arxiv.org/pdf/1409.1648v1.pdf

  

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