Two dimensional Gross-Pitaevskii equation with space-time white noise

Autor:	de Bouard, Anne, Debussche, Arnaud, Fukuizumi, Reika
Rok vydání:	2021
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs 35Q55 60H15
Druh dokumentu:	Working Paper
Popis:	In this paper we consider the two-dimensional stochastic Gross-Pitaevskii equation, which is a model to describe Bose-Einstein condensation at positive temperature. The equation is a complex Ginzburg-Landau equation with a harmonic potential and an additive space-time white noise. We study the well-posedness of the model using an inhomogeneous Wick renormalization due to the potential, and prove the existence of an invariant measure and of stationary martingale solutions.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.10106 Zobrazit plný text záznamu View this record from Arxiv