25 citations · 93 across the 34 of their papers we have counts for
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Global solutions for 1D cubic defocusing dispersive equations, Part V: low regularity NLS
Mihaela Ifrim, Ryan Martinez, Daniel Tataru
This article is motivated by a broad conjecture, formulated by the first and last authors in earlier work, asserting that one-dimensional cubic defocusing dispersive flows with sma…
Local well-posedness of spatially quasiperiodic gravity water waves in two dimensions
Mihaela Ifrim, Jon Wilkening, Xinyu Zhao
We provide the first proof of local well-posedness for the two-dimensional gravity water wave equations with spatially quasi-periodic initial conditions. We represent the solution…
Enhanced lifespan bounds for 1D quasilinear Klein-Gordon flows
Hongjing Huang, Mihaela Ifrim, Daniel Tataru
In this article we consider one-dimensional scalar quasilinear Klein--Gordon equations with general nonlinearities, on both and . By employing a refined mo…
Global solutions for cubic quasilinear ultrahyperbolic Schrödinger flows
Mihaela Ifrim, Ben Pineau, Daniel Tataru
In recent work, two of the authors proposed a broad global well-posedness conjecture for cubic quasilinear dispersive equations in two space dimensions, which asserts that global w…
A-priori estimates for generalized Korteweg-de Vries equations in
Mihaela Ifrim, Thierry Laurens
We prove local-in-time a-priori estimates in for a family of generalized Korteweg--de Vries equations. This is the first estimate for any non-integrable pertur…
Sharp well-posedness for the free boundary MHD equations
Mihaela Ifrim, Ben Pineau, Daniel Tataru +1
In this article, we provide a definitive well-posedness theory for the free boundary problem in incompressible magnetohyrodynamics. Despite the clear physical interest in this syst…