25 citations · 93 across the 34 of their papers we have counts for
5 papers · 2 filters
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…
Nonlinear interpolation and the flow map for quasilinear equations
Thomas Alazard, Nicolas Burq, Mihaela Ifrim +2
We prove an interpolation theorem for nonlinear functionals defined on scales of Banach spaces that generalize Besov spaces. It applies to functionals defined only locally, requiri…
Global solutions for 1D cubic defocusing dispersive equations, Part IV: general dispersion relations
Mihaela Ifrim, Daniel Tataru
A broad conjecture, formulated by the authors in earlier work, reads as follows: "Cubic defocusing dispersive one dimensional flows with small initial data have global dispersive s…
Modified scattering for the three dimensional Maxwell-Dirac system
Sebastian Herr, Mihaela Ifrim, Martin Spitz
In this work we prove global well-posedness for the massive Maxwell-Dirac system in the Lorenz gauge in , for small, sufficiently smooth and decaying initial data…
Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions
Mihaela Ifrim, Daniel Tataru
In recent work the authors proposed a broad global well-posedness conjecture for cubic defocusing dispersive equations in one space dimension, and then proved this conjecture in tw…