| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8256195 | Physica D: Nonlinear Phenomena | 2018 | 6 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dan Crisan, Darryl D. Holm,