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.

引用

页码：1115 / 1132

页数：18

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