25 citations · 93 across the 34 of their papers we have counts for
3 papers · 1 filter
The time-like minimal surface equation in Minkowski space: low regularity solutions
Albert Ai, Mihaela Ifrim, Daniel Tataru
It has long been conjectured that for nonlinear wave equations which satisfy a nonlinear form of the null condition, the low regularity well-posedness theory can be significantly i…
The Benjamin-Ono approximation for 2D gravity water waves with constant vorticity
Mihaela Ifrim, James Rowan, Daniel Tataru +1
This article is concerned with infinite depth gravity water waves with constant vorticity in two space dimensions. We consider this system expressed in position-velocity potential…
No pure capillary solitary waves exist in 2D finite depth
Mihaela Ifrim, Ben Pineau, Daniel Tataru +1
We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions. This closes the existence/non-existence problem for solitary water waves in 2D, u…