Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation

2022/03/28 by Anne de Bouard, Arnaud Debussche, de Bouard, Anne +3
Physics and Astronomy · Mathematics · #Cold Atom Physics and Bose-Einstein Condensates #Advanced Mathematical Physics Problems #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.2203.14462

Abstract

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.

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