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

被引：2
|
作者：
Cheng, Feng [1 ]
Li, Wei-Xi [1 ,2 ]
Xu, Chao-Jiang [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 04期
关键词：
Gevrey class regularity; incompressible Euler equation; weighted Sobolev space; HYPOELLIPTICITY; ANALYTICITY;
D O I：
10.1016/S0252-9602(17)30061-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 L-2-estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.
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页码：1115 / 1132
页数：18
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