Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation
Mathematical Physics
2015-05-13 v1 math.MP
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.
Keywords
Cite
@article{arxiv.0907.5506,
title = {Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation},
author = {Jiangbo Zhou and Lixin Tian},
journal= {arXiv preprint arXiv:0907.5506},
year = {2015}
}
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14 pages