most citedGlobal well-posedness of the energy-critical stochastic nonlinear wave equations

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2026

Long time well-posedness and wave turbulence limit for a quadratic non-lienar Schr{ö}dinger equation with well prepared random initial data

Enguerrand Brun

We prove a long time well-posedness result for a quadratic non-linear Schr{ö}dinger equation with random well prepared initial conditions in dimension d 1. In some regimes, w…

math.AP2023

Global well-posedness of one-dimensional cubic fractional nonlinear Schrödinger equations in negative Sobolev spaces

Enguerrand Brun, Guopeng Li, Ruoyuan Liu +1

We study the Cauchy problem for the cubic fractional nonlinear Schrödinger equation (fNLS) on the real line and on the circle. In particular, we prove global well-posedness of the…

math.AP2023★ 1 cited

Global well-posedness of the energy-critical stochastic nonlinear wave equations

Enguerrand Brun, Guopeng Li, Ruoyuan Liu

We consider the Cauchy problem for the defocusing energy-critical stochastic nonlinear wave equations (SNLW) with an additive stochastic forcing on and $\mathbb{T}…