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arXiv · 0904.2547

Wave breaking in the Ostrovsky--Hunter equation

Yue Liu·Dmitry Pelinovsky·Anton Sakovich
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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.

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Yue Liu, Dmitry Pelinovsky, Anton Sakovich. 2009-04-16. Wave breaking in the Ostrovsky--Hunter equation. https://doi.org/10.1137/09075799x

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