Local well-posedness to the thermal boundary layer equations in Sobolev space

被引：0

作者：

Zou, Yonghui ^{[1
]}

Xu, Xin ^{[1
]}

Gao, An ^{[2
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

[2] Linyi Sr Sch Finance & Econ, Linyi 276000, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 04期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

thermal boundary layer equations; Oleinik's monotonicity condition; local well-posedness; NAVIER-STOKES EQUATION; ZERO VISCOSITY LIMIT; PRANDTL EQUATION; ANALYTIC SOLUTIONS; GLOBAL EXISTENCE; ILL-POSEDNESS; HALF-SPACE; MONOTONICITY; STABILITY; BLOWUP;

D O I：

10.3934/math.2023503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the local well-posedness of the thermal boundary layer equations for the two-dimensional incompressible heat conducting flow with nonslip boundary condition for the velocity and Neumann boundary condition for the temperature. Under Oleinik's monotonicity assumption, we establish the local-in-time existence and uniqueness of solutions in Sobolev space for the boundary layer equations by a new weighted energy method developed by Masmoudi and Wong.

引用

页码：9933 / 9964

页数：32

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