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On the blow-up phenomena of Cauchy problem for the Camassa-Holm equation

✍ Scribed by Liu Yongqin; Wang Weike


Publisher
Wuhan University
Year
2006
Tongue
English
Weight
367 KB
Volume
11
Category
Article
ISSN
1007-1202

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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