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Wave breaking for the Stochastic Camassa-Holm equation

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Title: Wave breaking for the Stochastic Camassa-Holm equation
Authors: Holm, DD
Crisan, D
Item Type: Journal Article
Abstract: We show that wave breaking occurs with positive probability for the Stochastic Camassa-Holm (SCH) equation. This means that temporal stochasticity in the diffeomorphic flow map for SCH does not prevent the wave breaking process which leads to the formation of peakon solutions. We conjecture that the time-asymptotic solutions of SCH will consist of emergent wave trains of peakons moving along stochastic space-time paths.
Issue Date: 1-Aug-2018
Date of Acceptance: 13-Feb-2018
URI: http://hdl.handle.net/10044/1/57328
DOI: https://x.doi.org/10.1016/j.physd.2018.02.004
ISSN: 0167-2789
Publisher: Elsevier
Start Page: 138
End Page: 143
Journal / Book Title: Physica D: Nonlinear Phenomena
Volume: 376-377
Copyright Statement: © 2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Engineering and Physical Sciences Research Council
Funder's Grant Number: EP/N023781/1
EP/N023781/1
Keywords: math-ph
math.MP
nlin.SI
physics.flu-dyn
0102 Applied Mathematics
Fluids & Plasmas
Publication Status: Published
Online Publication Date: 2018-02-16
Appears in Collections:Pure Mathematics
Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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