Communications in Mathematical Sciences
Volume 14 (2016)
On the Camassa–Holm system with one mean zero component
Pages: 517 – 534
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.
two-component Camassa–Holm system, well-posedness, blow-up criteria
2010 Mathematics Subject Classification
35Q35, 37J35, 37L05, 58E35