147 citations · 1.7k across the 86 of their papers we have counts for
4 papers · 1 filter
Wave maps on (1+2)-dimensional curved spacetimes
Cristian Gavrus, Casey Jao, Daniel Tataru
In this article we initiate the study of 1+ 2 dimensional wave maps on a curved spacetime in the low regularity setting. Our main result asserts that in this context the wave maps…
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.…
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…
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…