Nonisotropic chaotic oscillations of the wave equation due to the interaction of mixing transport term and superlinear boundary condition
type: Item
instance of: scholarly article
title: Nonisotropic chaotic oscillations of the wave equation due to the interaction of mixing transport term and superlinear boundary condition
zbMATH Open document ID: 1447.35210
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-05-31T00:00:00Z
review text: In the paper is studied the nonisotropic chaotic oscillations of the initial-boundary value problem of one-dimensional wave equation with a mixing transport term. It separately considers that the boundary condition at the right-end of the wave equation is a superlinear type and linear perturbation of such type, each causing the total energy of the underlying system to rise and fall due to the interaction with a mixing transport term. For each type of boundary condition, the occurrence of nonisotropic chaotic oscillations is rigorously proved. Numerical examples verify the effectiveness of theoretical prediction.
reviewed by: Ilia V. Boikov
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 6877151
zbMATH Keywords: nonisotropic chaotic oscillation
zbMATH Keywords: perturbation
author: Qiao-Min Xiang
author: Qi-Gui Yang
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.02.031
OpenAlex ID: W2792957628
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DOI: 10.1016/J.JMAA.2018.02.031
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description: scientific article; zbMATH DE number 6877151