Long Time Behavior of Gross--Pitaevskii Equation at Positive Temperature

DOI10.1137/17M1149195zbMath1406.35376arXiv1708.01961MaRDI QIDQ4555742

Reika Fukuizumi, Anne de Bouard, Arnaud Debussche

Publication date: 21 November 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01961

zbMATH Keywords

stochastic partial differential equationsharmonic potentialwhite noiseGibbs measurecomplex Ginzburg Landau equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Ginzburg-Landau equations (35Q56)

Related Items (4)

A stochastic thermalization of the discrete nonlinear Schrödinger equation ⋮ Fluctuations and temperature effects in bose-einstein condensation ⋮ Gibbs measures based on 1d (an)harmonic oscillators as mean-field limits ⋮ Classical field theory limit of many-body quantum Gibbs states in 2D and 3D

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