Global existence for the two-component Camassa-Holm system and the modified two-component Camassa-Holm system

2014/01/14 by Liu, Jingjing, Yin, Zhaoyang
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1401.3082

Abstract

The present work is mainly concerned with global existence for the two-component Camassa-Holm system and the modified two-component Camassa-Holm system. By discovering new conservative quantities of these systems, we prove several new global existence results for these two-component shallow water systems.

Related

• Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system
• Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity
• Two-component system modelling shallow-water waves with constant vorticity under the Camassa-Holm scaling
• Global weak solutions for a three-component Camassa-Holm system with N-peakon solutions
• Multi-component generalization of Camassa-Holm equation