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- Title
On the blow-up phenomena for a modified periodic two-component Camassa–Holm equation.
- Authors
Liu, Jingjing; Yin, Zhaoyang
- Abstract
We first establish local well-posedness for a modified periodic two-component Camassa–Holm equation by Kato's semi-group theory. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.
- Subjects
GROUP theory; PERIODIC functions; NUMERICAL solutions to differential equations; MATHEMATICAL analysis; PRECISION (Information retrieval); SEMIGROUPS (Algebra)
- Publication
IMA Journal of Applied Mathematics, 2012, Vol 77, Issue 4, p563
- ISSN
0272-4960
- Publication type
Article
- DOI
10.1093/imamat/hxr034