On a nonlinear wave equation and the control of an elastic string from one equilibrium location to another
type: Item
instance of: scholarly article
title: On a nonlinear wave equation and the control of an elastic string from one equilibrium location to another
zbMATH Open document ID: 1013.35055
DOI: 10.1016/S0022-247X(02)00172-5
author: E. J. P. Georg Schmidt
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-12-16T00:00:00Z
review text: This paper concerns a nonlinear system of wave equations modeling the motion in space of an elastic string. One main purpose of this paper is to provide existence and uniqueness results using the theory of quasilinear hyperbolic systems. The second main target is a controllability result for an elastic string governed by the nonlinear system.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35L55
zbMATH DE Number: 1846004
zbMATH Keywords: existence
zbMATH Keywords: quasilinear hyperbolic systems
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
cites work: Modeling, analysis and control of dynamic elastic multi-link structures
cites work: Q3999241
cites work: Q5185568
cites work: On the Modelling and Exact Controllability of Networks of Vibrating Strings
cites work: On the control of mechanical systems from one equilibrium location to another
description: scientific article; zbMATH DE number 1846004