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arXiv · 1807.02320

Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation

Guenther Hoermann·Hisashi Okamoto
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Abstract

Spatially periodic solutions of the Fornberg-Whitham equation are studied to illustrate the mechanism of wave breaking and the formation of shocks for a large class of initial data. We show that these solutions can be considered to be weak solutions satisfying the entropy condition. By numerical experiments, we show that the breaking waves become shock-wave type in the time evolution.

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Guenther Hoermann, Hisashi Okamoto. 2018-07-06. Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation. https://arxiv.org/abs/1807.02320

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