1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2024
Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
Quentin Chauleur, Radu Chicireanu, Guillaume Dujardin +2
We consider the Gross-Pitaevskii equation with a confining ring potential with a Gaussian profile. By introducing a rotating sinusoidal perturbation, we numerically highlight the n…
math.AP2024★ 1 cited
Continuum limit of the discrete nonlinear Klein-Gordon equation
Quentin Chauleur
We study the convergence of solutions of the discrete nonlinear Klein-Gordon equation on an infinite lattice in the continuum limit, using recent tools developed in the context of…
math.AP2023
The logarithmic Schr{ö}dinger equation with spatial white noise on the full space
Quentin Chauleur, Antoine Mouzard
We solve the Schr{ö}dinger equation with logarithmic nonlinearity and multiplicative spatial white noise on R d with d 2. Because of the nonlinearity, the regularity structur…