Vanishing diffusion limit and boundary layers for a nonlinear hyperbolic system with damping and diffusion

We consider an initial and boundary value problem for a nonlinear hyperbolic system with damping and diffusion. This system was derived from the Rayleigh–Benard equation. Based on a new observation of the structure of the system, two identities are found; then, the following results are proved by us...

Full description

Bibliographic Details
Main Authors: Xu Zhao, Wenshu Zhou
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023329?viewType=HTML