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.