Wave Breaking in the Periodic Integrable Hunter-Saxton Equation with a Dispersive Term  

作　　者：Ying ZHANG Ruichang PEI Dewang CUI 

机构地区：[1]School of Mathematics and Statistics, Tianshui Normal University

出　　处：《Journal of Mathematical Research with Applications》2019年第5期517-528,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11561059);Tianshui Normal University ‘QinglanTalents’ Project

摘　　要：Considered here is the periodic Cauchy problem for an integrable Hunter-Saxton equation with a dispersive term. Firstly, we derive a precise blow-up criterion of strong solutions to the equation. Secondly, sufficient conditions guaranteeing the development of breaking waves in finite time are demonstrated by applying some conservative quantities and the method of characteristics, respectively. Finally, the exact blow-up rate is determined.Considered here is the periodic Cauchy problem for an integrable Hunter-Saxton equation with a dispersive term. Firstly, we derive a precise blow-up criterion of strong solutions to the equation. Secondly, sufficient conditions guaranteeing the development of breaking waves in finite time are demonstrated by applying some conservative quantities and the method of characteristics, respectively. Finally, the exact blow-up rate is determined.

关 键 词：Hunter-Saxton EQUATION INTEGRABLE EQUATION BLOW-UP WAVE-BREAKING 

分 类 号：O1[理学—数学]