Yue Liu, University of Texas, Arlington
520 Pao Yue-Kong Library
The rotation-two-component Camassa-Holm system models the equatorial water waves with the effect of the Coriolis force. The quasi-nonlinear nature of the system suggests that smooth initial data may develop finite time singularity, giving rise to the so-call wave-breaking phenomenon. On the other hand, the balance between the nonlinearity and dispersion makes it possible to support solitary waves, sometimes even with singularities. In this talk I will discuss these two types of solutions.