Work

The Boundary Layer Expansions of the Steady 2D Boussinesq Equations With a Moving Boundary

Year: 2025

Type: article

Abstract: ABSTRACT This article demonstrates the validity of the boundary layer expansions of the steady Boussinesq system in the domain . At the boundary , we consider the slip boundary condition for the tangential velocity field, along with the nonhomogeneous Dirichlet boundary condition for the temperature field. We justify the expansions at any order, which generalizes the results of Guo et al. (Annals of PDE, 2017) and Li et al. (Journal of Differential Equations, 2020), obtained for the Navier–Stokes equations, to the Boussinesq system.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11133

Authors: Dongfen Bian, Zhenjie Si

Institution: Beijing Institute of Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G7141152377