25 citations · 93 across the 34 of their papers we have counts for
4 papers · 1 filter
The global well-posedness conjecture for 1D cubic dispersive equations
Mihaela Ifrim, Daniel Tataru
The goal of this article is to discuss a recent conjecture of the two authors, which aims to describe the long time behavior of solutions to one-dimensional dispersive equations wi…
Sharp Hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary Euler equations
Mihaela Ifrim, Ben Pineau, Daniel Tataru +1
We provide a complete local well-posedness theory in based Sobolev spaces for the free boundary incompressible Euler equations with zero surface tension on a connected fluid…
Global solutions for 1D cubic dispersive equations, Part III: the quasilinear Schrödinger flow
Mihaela Ifrim, Daniel Tataru
The first target of this article is the local well-posedness question for 1D quasilinear Schrödinger equations with cubic nonlinearities. The study of this class of problems, in al…
The lifespan of small data solutions for Intermediate Long Wave equation (ILW)
Mihaela Ifrim, Jean-Claude Saut
This article represents a first step toward understanding the long-time dynamics of solutions for the Intermediate Long Wave equation (ILW). While this problem is known to be both…