Stability of solutions constructed by the wave front tracking method for conservation laws. (February 2023)

• Record Type: Journal Article
• Authors: Ebata, Takanori; Ohwa, Hiroki
• Is Part Of: Nonlinear analysis. Volume 69(2023)
• Publication Date: 2023-02
• Subjects: Conservation laws -- Cauchy problem -- Stability -- Convergence rate; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103717
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We prove the L loc 1 stability of sequence of piecewise constant solutions constructed by the wave front tracking method for conservation laws. As a result, we can see concretely the convergence rate of sequence of piecewise constant solutions constructed by the wave front tracking method for conservation laws.