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arXiv · 0907.5506

Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation

Jiangbo Zhou·Lixin Tian
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Abstract

In this paper, we study an initial boundary value problem for a generalized Camassa-Holm equation. We establish local well-posedness of this closed-loop system by using Kato theorem for abstract quasilinear evolution equation of hyperbolic type. Then, by using multiplier technique, we obtain a conservation law which enable us to present a blow-up result.

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Jiangbo Zhou, Lixin Tian. 2009-07-31. Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation. https://doi.org/10.1016/j.physleta.2008.02.032

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