On a Periodic 2-Component Camassa–Holm Equation with Vorticity
- 10.1142/S1402925111001787How to use a DOI?
- A periodic 2-component Camassa–Holm equation; vorticity; global existence; blow-up; blow-up rate
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 Hs, . 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. We finally examine the propagation behaviour of compactly supported solutions to the equation. The obtained results cover and improve the earlier results for a periodic 2-component Camssa–Holm equation without vorticity.
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
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Cite this article
TY - JOUR AU - Qiaoyi Hu PY - 2021 DA - 2021/01/07 TI - On a Periodic 2-Component Camassa–Holm Equation with Vorticity JO - Journal of Nonlinear Mathematical Physics SP - 541 EP - 556 VL - 18 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001787 DO - 10.1142/S1402925111001787 ID - Hu2021 ER -