On the solutions of a modified two-component Camassa-Holm shallow water system

Series: 
PDE Seminar
Tuesday, September 4, 2012 - 15:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Sun Yat-sen University, China
Organizer: 
In this talk, we consider the Cauchy problem of a modified two-component Camassa-Holm shallow water system. We first establish local well-possedness of the Cauchy problem of the system. Then we present several blow-up results of strong solutions to the system. Moreover, we show the existence of global weak solutions to the system. Finally, we address global conservative solutions to the system. This talk is based on several joint works with C. Guan, K. H. Karlsen, K. Yan and W. Tan.