Two-Dimensional Gross-Pitaevskii Equation With Space-Time White Noise

被引：1
作者：
de Bouard, Anne [1 ]
Debussche, Arnaud [2 ,3 ]
Fukuizumi, Reika [4 ]
机构：
[1] Ecole Polytech, CMAP, CNRS, IP Paris, F-91128 Palaiseau, France
[2] Univ Rennes, CNRS, IRMAR UMR 6625, F-35000 Rennes, France
[3] Inst Univ France, Paris, France
[4] Tohoku Univ, Grad Sch Informat Sci, Res Ctr Pure & Appl Math, Sendai, Miyagi 9808579, Japan
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 12期
关键词：
GLOBAL WELL-POSEDNESS; SCHRODINGER-OPERATORS; DYNAMICS;
D O I：
10.1093/imrn/rnac137
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 global well posedness of the model using an inhomogeneous Wick renormalization due to the potential and prove the existence of an invariant measure.
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收藏
页码：10556 / 10614
页数：59
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