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arXiv · 1306.1449

Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude

Nilay Duruk Mutlubas
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Abstract

We study the local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in shallow water. We use an approach due to Kato which is based on semigroup theory for quasi-linear equations. We also show that singularities for the model equation can occur only in the form of wave breaking, in particular surging breakers.

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Nilay Duruk Mutlubas. 2013-06-12. Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude. https://arxiv.org/abs/1306.1449

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