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Blow-up, Global Existence and Persistence Properties for the Coupled Camassa–Holm equations

✍ Scribed by Mingxuan Zhu

Publisher
Springer Netherlands
Year
2011
Tongue
English
Weight
328 KB
Volume
14
Category
Article
ISSN
1385-0172

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A blow-up result for the periodic Camass
A blow-up result for the periodic Camassa-Holm equation
✍ 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