Blow-up phenomena and global existence for a two-component Camassa–Holm system with an arbitrary smooth function. (May 2017)

• Record Type: Journal Article
• Authors: Zheng, Rudong; Yin, Zhaoyang
• Is Part Of: Nonlinear analysis. Volume 155(2017)
• Page Start: 176
• Page End: 185
• Publication Date: 2017-05
• Subjects: A two-component Camassa–Holm system -- Blow-up phenomena -- Global existence; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.02.004
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In the paper, we mainly investigate blow-up phenomena and global existence of strong solutions to a two-component Camassa–Holm systems with an arbitrary smooth function H . For three types of smooth functions H, by using a conservation law and the sign-preserving property of strong solutions, we obtain two new blow-up results and a new global existence result for the two-component system. Our obtained results generalize and cover the recent results in Yan et al. (2015), Zhang and Yin (2015, 2016).