An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion

Abstract The main purpose of this paper is to estimate the thickness of boundary layer for nonlinear evolution equations with damping and diffusion as the diffusion parameter β goes to zero. We prove that the thickness of layer is of the order O ( β γ ) $O(\beta^{\gamma})$ with 0 < γ < 1 $0<...

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Bibliographic Details
Main Authors: Wenshu Zhou, Xulong Qin, Xiaodan Wei
Format: Article
Language:English
Published: SpringerOpen 2016-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1191-0