25 citations · 93 across the 34 of their papers we have counts for
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math.AP2018
The NLS approximation for two dimensional deep gravity waves
Mihaela Ifrim, Daniel Tataru
This article is concerned with infinite depth gravity water waves in two space dimensions. We consider this system expressed in position-velocity potential holomorphic coordinates.…
math.AP2018
No solitary waves in 2-d gravity and capillary waves in deep water
Mihaela Ifrim, Daniel Tataru
A fundamental question in the study of water waves is the existence and stability of solitary waves. Solitary waves have been proved to exist and have been studied in many interest…
math.AP2018
A Morawetz inequality for water waves
Thomas Alazard, Mihaela Ifrim, Daniel Tataru
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 energ…