Stability of traveling wave solutions to the initial–boundary value problem for diagonalizable quasilinear hyperbolic systems. (April 2015)

• Record Type: Journal Article
• Authors: Liu, Jianli; Wei, Fenglun
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 342
• Page End: 353
• Publication Date: 2015-04
• Subjects: Stability -- Traveling wave solutions -- Initial–boundary value problem; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.09.018
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we consider the stability of all traveling wave solutions to the mixed initial–boundary value problem for diagonalizable quasilinear hyperbolic system in the domain { ( t, x ) | t ≥ 0, x ≥ 0 }, using the weighted Glimm functional method. An application is given for the interesting model in particle physics.