Breakdown of the Camassa-Holm equation. (English) Zbl 1052.35130

This is a brief note that deals with the breakdown of the Camassa-Holm equation. An earlier proof regarding the breakdown of this equation, under certain conditions, is pointed out to be faulty at some point; a simple proof dropping some conditions, assumed earlier, is presented, of course using the same formalism.


35F20 Nonlinear first-order PDEs
35B40 Asymptotic behavior of solutions to PDEs
35L67 Shocks and singularities for hyperbolic equations
35Q58 Other completely integrable PDE (MSC2000)
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction


shock wave
Full Text: DOI


[1] ; Vorticity and incompressible flow. Cambridge University Press, Cambridge, 2002. · Zbl 0983.76001
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[6] McKean, Comm Pure Appl Math 61 pp 638– (2003)
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