10 papers
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…
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…
-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 s…
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 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…