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Global existence and blow-up phenomena for a periodic 2-component Camassa–Holm equation

✍ Scribed by Qiaoyi Hu; Zhaoyang Yin


Publisher
Springer Vienna
Year
2011
Tongue
English
Weight
245 KB
Volume
165
Category
Article
ISSN
0026-9255

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A blow-up result for the periodic Camass
✍ Erik Wahlén 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 78 KB

We present a blow-up criterion for the periodic Camassa-Holm equation. The condition obtained for blow-up uses two of the conservation laws associated with the equation and improves upon some recent results. ## Introduction. The nonlinear partial differential equation is a bi-Hamiltonian system [1