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.
Publications
- Article type
- Year
Article type
Year
Open Access
Research Article
Issue
AIMS Mathematics 2023, 8(4): 9933-9964
Published: 15 April 2023
Downloads:1
Total 1
京公网安备11010802044758号