A note on boundary layer of a nonlinear evolution system with damping and diffusions

作者：Peng, Hongyun; Ruan, Lizhi^*; Xiang, Jianlin

来源：Journal of Mathematical Analysis and Applications, 2015, 426(2): 1099-1129.

DOI：10.1016/j.jmaa.2015.01.053

• Nonlinear evolution system
• Dirichlet-Neumann boundary conditions
• Zero diffusion limit
• Boundary layer
• BL-thickness

In this paper, we consider an initial-boundary value problem for a nonlinear evolution system with damping and diffusions on the strip. Our main purpose is to investigate zero-diffusion limits, which formally yield parabolic-hyperbolic coupled equations resulting from parabolic-parabolic coupled equations. It is shown that the boundary layer thickness is of the order O(beta(gamma)) with 0 < gamma < 3/4 as the diffusion parameter beta goes to zero.

• 单位
  武汉理工大学; 华中师范大学