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- Title
On a Periodic 2-Component Camassa-Holm Equation with Vorticity.
- Authors
Hu, Qiaoyi
- Abstract
We consider a periodic 2-component Camassa—Holm equation with vorticity in the paper. We first give the local well-posedness and the blow-up criterion for strong solutions to the equation in the Sobolev space We then present a global existence result for strong solutions to the equation. We finally obtain several blow-up results and the blow-up rate of strong solutions to the equation. The obtained results cover and improve the earlier results for a periodic 2-component Camssa–Holm equation without vorticity.
- Subjects
VORTEX motion; SOBOLEV spaces; BLOWING up (Algebraic geometry); EQUATIONS
- Publication
Journal of Nonlinear Mathematical Physics, 2011, Vol 18, Issue 4, p541
- ISSN
1402-9251
- Publication type
Article
- DOI
10.1142/S1402925111001787