speaker：liu yue
address：university of texas
title：break waves and solitary waves to the rotation-two-component camassa-holm system
abstract：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.
