Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System

作者:Chen Robin Ming; Liu Yue*
来源:International Mathematics Research Notices, 2011, (6): 1381-1416.
DOI:10.1093/imrn/rnq118

摘要

In this paper, we 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.

  • 出版日期2011