Wave breaking in the Ostrovsky--Hunter equation
Analysis of PDEs
2013-01-15 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The Ostrovsky--Hunter equation governs evolution of shallow water waves on a rotating fluid in the limit of small high-frequency dispersion. Sufficient conditions for the wave breaking in the Ostrovsky--Hunter equation are found both on an infinite line and in a periodic domain. Using the method of characteristics, we also specify the blow-up rate at which the waves break. Numerical illustrations of the finite-time wave breaking are given in a periodic domain.
Keywords
Cite
@article{arxiv.0904.2547,
title = {Wave breaking in the Ostrovsky--Hunter equation},
author = {Yue Liu and Dmitry Pelinovsky and Anton Sakovich},
journal= {arXiv preprint arXiv:0904.2547},
year = {2013}
}
Comments
22 pages, 5 figures