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Wave breaking for the Stochastic Camassa-Holm equation
File(s)
Author(s)
Crisan, Dan
Holm, DD
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.
Date Issued
2018-08-01
Date Acceptance
2018-02-13
Citation
Physica D: Nonlinear Phenomena, 2018, 376-377, pp.138-143
URI
DOI
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
Engineering & Physical Science Research Council (EPSRC)
Engineering and Physical Sciences Research Council
Grant Number
EP/N023781/1
EP/N023781/1
Subjects
math-ph
math.MP
nlin.SI
physics.flu-dyn
0102 Applied Mathematics
Fluids & Plasmas
Publication Status
Published
Date Publish Online
2018-02-16