25 citations · 93 across the 34 of their papers we have counts for
5 papers · 1 filter
The lifespan of small data solutions to the KP-I
Benjamin Harrop-Griffiths, Mihaela Ifrim, Daniel Tataru
We show that for small, localized initial data there exists a global solution to the KP-I equation in a Galilean-invariant space using the method of testing by wave packets.
The lifespan of small data solutions in two dimensional capillary water waves
Mihaela Ifrim, Daniel Tataru
This article is concerned with the incompressible, irrotational infinite depth water wave equation in two space dimensions, without gravity but with surface tension. We consider th…
Two dimensional water waves in holomorphic coordinates II: global solutions
Mihaela Ifrim, Daniel Tataru
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 coordin…
Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension
Mihaela Ifrim, Daniel Tataru
This article is concerned with the small data problem for the cubic nonlinear Schrödinger equation (NLS) in one space dimension, and short range modifications of it. We provide a n…
Two dimensional water waves in holomorphic coordinates
John Hunter, Mihaela Ifrim, Daniel Tataru
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 coordin…