Articles

GEVREY REGULARITY WITH WEIGHT FOR INCOMPRESSIBLE EULER EQUATION IN THE HALF PLANE

  • Feng CHENG ,
  • Wei-Xi LI ,
  • Chao-Jiang XU
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  • 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;
    2. School of Mathematics and Statistics, and Computational Science Hubei Key Laboratory, Wuhan University, Wuhan 430072, China
Feng CHENG,E-mail:chengfengwhu@whu.edu.cn;Wei-Xi LI,E-mail:wei-xi.li@whu.edu.cn;Chao-Jiang XU,E-mail:chjxu.math@whu.edu.cn

Received date: 2015-12-28

  Revised date: 2017-01-05

  Online published: 2017-08-25

Supported by

The second author is supported by NSF of China (11422106) and Fok Ying Tung Education Foundation (151001) and the third author is supported by "Fundamental Research Funds for the Central Universities" and the NSF of China (11171261).

Abstract

In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical boundary layer equation for fast rotating fluid. The method presented here is based on the basic weighted L2-estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.

Cite this article

Feng CHENG , Wei-Xi LI , Chao-Jiang XU . GEVREY REGULARITY WITH WEIGHT FOR INCOMPRESSIBLE EULER EQUATION IN THE HALF PLANE[J]. Acta mathematica scientia, Series B, 2017 , 37(4) : 1115 -1132 . DOI: 10.1016/S0252-9602(17)30061-9

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