Boundary layer separation and local behavior for the Steady Prandtl equation

被引：14

作者：

Shen, Weiming ^{[1
]}

Wang, Yue ^{[1
]}

Zhang, Zhifei ^{[2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2021年 / 389卷

关键词：

Steady Prandtl equation; Boundary layer separation; Local behavior; ZERO-VISCOSITY LIMIT; NAVIER-STOKES EQUATIONS; ANALYTIC SOLUTIONS; INVISCID LIMIT; HALF-SPACE; INSTABILITY; EXISTENCE; EULER;

D O I：

10.1016/j.aim.2021.107896

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the boundary layer separation of the steady Prandtl equation for Oleinik's data ensuring the local existence of the solution under suitable adverse pressure gradient, and confirm Goldstein's hypothesis on the separation rate. We also study the local behavior of the solution near the separation point, which is related to Open problem 5 proposed by Oleinik and Samokhin (P.501, [25]). (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：25

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