5 citations · 9 across the 13 of their papers we have counts for
14 papers
Phase retrieval for Schrödinger evolutions
Ben Pineau, João P. G. Ramos, Mitchell A. Taylor
Consider the one-dimensional Schrödinger evolution where is a real-valued time-dependent potentia…
On rotated backwards self-similar solutions of the incompressible 3D Navier-Stokes equations
Ben Pineau, Vlad Vicol
We consider backwards globally self-similar solutions of the 3D incompressible Navier-Stokes equations which are invariant under the joint action of scaling (the natural parabolic…
-Stability for STFT phase retrieval
Susanna Bertolini, Jaume de Dios Pont, Ben Pineau +2
We prove that the short-time Fourier transform with Gaussian window performs -local stable phase retrieval at the constant function. The proof involved significant interplay b…
Cheeger's Constant for the Gabor Transform and Ripples
Rima Alaifari, Ben Pineau, Mitchell A. Taylor +1
We discover a new instability mechanism for short-time Fourier transform phase retrieval which yields that for any reasonable window function in any dimension , the local st…
A Poisson Formula for the Wave Propagator on Schwarzschild-de Sitter Backgrounds
Izak Oltman, Ben Pineau
This paper proposes a Poisson formula for the wave propagator of the Schwarzschild--de Sitter (SdS) metric. That is done by proving a Poisson formula relating wave propagators and…
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…
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…
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…
Low regularity solutions for the general quasilinear ultrahyperbolic Schrödinger equation
Ben Pineau, Mitchell A. Taylor
We present a novel method for establishing large data local well-posedness in low regularity Sobolev spaces for general quasilinear Schrödinger equations with non-degenerate and no…
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…
Examples of Hölder-stable Phase Retrieval
Michael Christ, Ben Pineau, Mitchell A. Taylor
Examples are constructed of infinite-dimensional subspaces with the property that for any , if is approximately equal to with respect to the…
Global well-posedness for the generalized derivative nonlinear Schrödinger equation
Ben Pineau, Mitchell A. Taylor
We study the well-posedness of the generalized derivative nonlinear Schrödinger equation (gDNLS) for small powers . We analyze this equation at bot…
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…
New Regularity Criteria for the Navier-Stokes Equations in Terms of Pressure
Benjamin Pineau, Xinwei Yu
In this paper, we generalize the main results of [1] and [31] to Lorentz spaces, using a simple procedure. The main results are the following. Let and let be a Leray-…