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

Series
PDE Seminar
Time
Tuesday, September 4, 2012 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Zhaoyang Yin – Sun Yat-sen University, China
Organizer
Zhiwu Lin
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.