A MORAWETZ INEQUALITY FOR WATER WAVES

Thomas Alazard; Mihaela Ifrim; Daniel Tataru

doi:10.1353/ajm.2022.0013

A MORAWETZ INEQUALITY FOR WATER WAVES

Thomas Alazard
, Mihaela Ifrim
, Daniel Tataru

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	607-699
Number of pages	93
Journal	American Journal of Mathematics
Volume	144
Issue number	3
DOIs	https://doi.org/10.1353/ajm.2022.0013
Publication status	Published - 1 Jun 2022
Externally published	Yes

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title = "A MORAWETZ INEQUALITY FOR WATER WAVES",

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.",

author = "Thomas Alazard and Mihaela Ifrim and Daniel Tataru",

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doi = "10.1353/ajm.2022.0013",

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N2 - 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.

AB - 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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DO - 10.1353/ajm.2022.0013

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VL - 144

SP - 607

EP - 699

JO - American Journal of Mathematics

JF - American Journal of Mathematics

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A MORAWETZ INEQUALITY FOR WATER WAVES

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