Speaker :
| Professor Yue Liu (University of Texas Arlington, USA) |
Title :
|
Wave-breaking and global existence for a generalized two-component Camassa-Holm system |
Time :
| 2011-01-20 (Thu) 15:00 - 16:00 |
Place : |
Lecture Hall, Inst. of Mathematics |
Abstract: |
In this talk, we will study a generalized two-component Camassa-Holm system which can be derived from the theory of shallow water waves moving over a linear shear flow. This new system also generalizes a class of dispersive waves in cylindrical compressible hyperelastic rods. We show that this new system can still exhibit the wave-breaking phenomenon. We also determine the exact blow-up rate of such solutions. In addition, we establish a sufficient condition for global solutions. |