Boundary-layer phenomena for the boundary layer for the heat-conductive incompressible viscous fluids in the half space

摘要

This paper is concerned with the initial-boundary value problem of the heat-conductive viscous fluid in R-+(2). We prove the convergence rate of the solutions as the heat diffusive coefficient k goes to zero using some uniform-in-k estimates. Moreover, the thickness of the boundary layer is obtained and the boundary layer solution is constructed to describe the behavior of boundary layers. (C) 2019 Elsevier Ltd. All rights reserved.