On the wave-breaking phenomena and global existence for the periodic rotation-two-component Camassa Holm system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Moon, Byungsoo¹ 

[1] Incheon Natl Univ, Dept Math, Incheon 22012, South Korea

关键词: Rotation-two-component;    Camassa-Holm system;    Blow-up;    Wave-breaking;    Global existence;   

DOI  :  10.1016/j.jmaa.2017.01.075

来源: Elsevier

【 摘 要 】

Considered herein is the periodic rotation-two-component Camassa-Holm system, which can be derived from the f-plane governing equations for the geophysical water waves with a constant underlying current. The nonlocal nonlinearities on blow-up criteria and wave-breaking phenomena are established. Finally, a sufficient condition for global solutions is obtained by using a method of the Lyapunov function. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free