1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
On the optimal Sobolev threshold for evolution equations with rough nonlinearities
Ben Pineau, Mitchell A. Taylor
In this article we are concerned with evolution equations of the form \begin{equation*} \partial_tu-A(D)u=F(u,\overline{u},\nabla u, \nabla \overline{u}) \end{equation*} where $A(D…
math.AP2025
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…
math.AP2024★ 1 cited
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…