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 50 条

[1] Existence and singularities for the Prandtl boundary layer equations
Caflisch, RE
Sammartino, M
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2000, 80 (11-12): : 733 - 744
[2] GLOBAL EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE PRANDTL-HARTMANN BOUNDARY LAYER EQUATIONS
Dong, Xiaolei
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
[3] Almost Global Existence for the Prandtl Boundary Layer Equations
Mihaela Ignatova
Vlad Vicol
Archive for Rational Mechanics and Analysis, 2016, 220 : 809 - 848
[4] Almost Global Existence for the Prandtl Boundary Layer Equations
Ignatova, Mihaela
Vicol, Vlad
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2016, 220 (02) : 809 - 848
[5] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF PRANDTL BOUNDARY LAYER EQUATIONS
WALTER, W
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1971, 20 (09) : 829 - &
[6] ON ANALYTIC SOLUTIONS OF THE PRANDTL EQUATIONS WITH ROBIN BOUNDARY CONDITION IN HALF SPACE
Ding, Yutao
Jiang, Ning
METHODS AND APPLICATIONS OF ANALYSIS, 2015, 22 (03) : 281 - 300
[7] Almost Global Existence for the 3D Prandtl Boundary Layer Equations
Lin, Xueyun
Zhang, Ting
ACTA APPLICANDAE MATHEMATICAE, 2020, 169 (01) : 383 - 410
[8] Almost Global Existence for the 3D Prandtl Boundary Layer Equations
Xueyun Lin
Ting Zhang
Acta Applicandae Mathematicae, 2020, 169 : 383 - 410
[9] On the Existence of a Prandtl Boundary Layer Near a Corner
V. V. Kuznetsov
Differential Equations, 2002, 38 : 830 - 838
[10] On the existence of a Prandtl boundary layer near a corner
Kuznetsov, VV
DIFFERENTIAL EQUATIONS, 2002, 38 (06) : 830 - 838

← 1 2 3 4 5 →