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.
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页码：269 / 292
页数：24
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