Boundary Layer Effects for the Nonlinear Evolution Equations with the Vanishing Diffusion Limit

Linrui Li and Shu Wang

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-11

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 limit , especially for the mixed boundary conditions; we prove that the thickness of layer is of the order . Furthermore, the corresponding convergence rates are also obtained.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2581953

DOI: 10.1155/2018/2581953

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