@article{Zou2023, 
author = {Yonghui Zou and Xin Xu and An Gao},
title = {Local well-posedness to the thermal boundary layer equations in Sobolev space},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {9933-9964},
keywords = {thermal boundary layer equations, Oleinik's monotonicity condition, local well-posedness},
url = {https://www.sciopen.com/article/10.3934/math.2023503},
doi = {10.3934/math.2023503},
abstract = {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.}
}