Growth rates of total variations of snapshots of 1D linear wave equations with nonlinear right-end boundary conditions
type: Item
instance of: scholarly article
title: Growth rates of total variations of snapshots of 1D linear wave equations with nonlinear right-end boundary conditions
zbMATH Open document ID: 1183.35189
author: Liangliang Li
author: Yu Huang
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-11-05T00:00:00Z
review text: The vibrations of the solution of the one dimensional homogeneous wave equation under initial and boundary conditions are studied. The left-end boundary condition is linear and the right-hand is nonlinear. By a traveling wave approach explicit expressions for the Riemann invariants \((u ,v)\) are computed. Results regarding the growth of the total variations of \(u(.,t)\) and \(v(.,t)\) are proved. At the end of the paper, applications of the stated results, followed by numerical simulations are shown.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 5625387
zbMATH Keywords: chaos
zbMATH Keywords: traveling wave approach
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.09.011
OpenAlex ID: W2069172908
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DOI: 10.1016/J.JMAA.2009.09.011
description: scientific article; zbMATH DE number 5625387