PDE Seminar, 2012 fall

9/4

Zhaoyang Yin, Sun Yat-sen University, China

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

Abstract: 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.

9/11

9/18

Bin Cheng, Arizona State University

9/25

Meijun Zhu, University of Oklahoma

10/2

S. S. Sritharan, Naval Postgraduate School

10/9

Roman Shvydkoy, University of Illinois at Chicago

10/16

Fall break

10/23

10/30

11/6

Alexander Kiselev, University of Wisconsin

11/13

11/20

11/27