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arXiv · 1707.05838

Wave breaking of periodic solutions to the Fornberg-Whitham equation

Guenther Hoermann
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Abstract

Based on recent well-posedness results in Sobolev (or Besov spaces) for periodic solutions to the Fornberg-Whitham equations we investigate here the questions of wave breaking and blow-up for these solutions. We show first that finite maximal life time of a solution necessarily leads to wave breaking. Second, we prove that for a certain class of initial wave profiles the corresponding solutions do indeed blow-up in finite time.

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Guenther Hoermann. 2017-07-18. Wave breaking of periodic solutions to the Fornberg-Whitham equation. https://arxiv.org/abs/1707.05838

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