ON THE LOCAL EXISTENCE OF ANALYTIC SOLUTIONS TO THE PRANDTL BOUNDARY LAYER EQUATIONS

被引：0

作者：

Kukavica, Igor ^{[1
]}

Vicol, Vlad ^{[2
]}

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2013年 / 11卷 / 01期

基金：

美国国家科学基金会;

关键词：

Boundary layer; Prandtl equation; well-posedness; real-analyticity; matched asymptotics; inviscid limit; NAVIER-STOKES EQUATIONS; ZERO VISCOSITY LIMIT; EULER EQUATIONS; INVISCID LIMIT; HALF-SPACE; FLOW; SINGULARITY; POSEDNESS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the local well-posedness of the Prandtl boundary layer equations. Using a new change of variables we allow for more general data than previously considered, that is, we require the matching at the top of the boundary layer to beat a polynomial rather than exponential rate. The proof is direct, via analytic energy estimates in the tangential variables.

引用

页码：269 / 292

页数：24

共 38 条

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