Journal
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE
Volume 144, Issue 2, Pages 369-394Publisher
FRENCH MATHEMATICAL SOC
DOI: 10.24033/bsmf.2717
Keywords
Gravity waves; normal form; wave packets; modified energy method
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Funding
- Simons Foundation
- NSF [DMS-1266182]
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This article is concerned with the infinite depth water wave equation in two space dimensions. We consider this problem expressed in position-velocity potential holomorphic coordinates, and prove that small localized data leads to global solutions. This article is a continuation of authors' earlier paper [8].
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