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Pré-Publication, Document De Travail Année : 2022

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

Résumé

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.

Dates et versions

hal-03845822 , version 1 (09-11-2022)

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Anne de Bouard, Arnaud Debussche, Reika Fukuizumi. Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation. 2022. ⟨hal-03845822⟩
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