Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit. (6th May 2018)

• Record Type: Journal Article
• Authors: Li, Linrui; Wang, Shu
• Other Names: Bretti Gabriella Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2018(2018)
• Publication Date: 2018-05-06
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2018/2581953
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We study an initial-boundary value problem for a nonlinear evolution system with damping and diffusion; our main purpose is to investigate the boundary layer effects when the vanishing diffusion limitα → 0 +, especially for the mixed boundary conditions; we prove that the thickness of layer is of the orderO ( α ) . Furthermore, the corresponding convergence rates are also obtained.