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arXiv · 1806.08443

A Morawetz inequality for water waves

Thomas Alazard·Mihaela Ifrim·Daniel Tataru
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Abstract

We consider gravity water waves in two space dimensions, with finite or infinite depth. Assuming some uniform scale invariant Sobolev bounds for the solutions, we prove local energy decay (Morawetz) estimates globally in time. Our result is uniform in the infinite depth limit.

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Thomas Alazard, Mihaela Ifrim, Daniel Tataru. 2018-06-21. A Morawetz inequality for water waves. https://arxiv.org/abs/1806.08443

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