Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation
Anne de Bouard, Arnaud Debussche, Reika Fukuizumi·2022-03-28·via math.PR updates on arXiv.org
In this short report we give a proof of the existence of a stationary solution to the Gross-Pitaevskii equation in $2d$ driven by a space-time white noise.