Colloquium

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:
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.
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