ON THE CAMASSA HOLM SYSTEM WITH ONE MEAN ZERO COMPONENT

摘要

In this paper, a generalized two-component Camassa Holm model, closely connected to the shallow water theory, is discussed. This two-component Camassa Holm system is investigated on the local well-posedness and blow-up phenomena. The present work is mainly concerned with the detailed blow-up criteria where some special classes of initial data are involved. Moreover, as a by-product, the blow-up rate is established.