Wave breaking analysis for the periodic rotation-two-component Camassa–Holm system. (October 2019)

• Record Type: Journal Article
• Authors: Liu, Jingjing; Pucci, Patrizia; Zhang, Qihu
• Is Part Of: Nonlinear analysis. Volume 187(2019)
• Page Start: 214
• Page End: 228
• Publication Date: 2019-10
• Subjects: 35B44 -- 35G55 -- 35L05; The periodic rotation-two-component Camassa–Holm system -- Blow-up criterion -- Blow-up -- Blow-up rate; 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.2019.04.016
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we study the blow-up phenomenon of the initial boundary value problem for the periodic rotation-two-component Camassa–Holm (R2CH) system. The results include a precise blow-up criterion, when σ > 0, and two new blow-up statements and the exact blow-up rate for strong solutions of the system.