English

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

Probability 2022-03-29 v1 Analysis of PDEs

Abstract

In this short report we give a proof of the existence of a stationary solution to the Gross-Pitaevskii equation in 2d2d driven by a space-time white noise.

Keywords

Cite

@article{arxiv.2203.14462,
  title  = {Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation},
  author = {Anne de Bouard and Arnaud Debussche and Reika Fukuizumi},
  journal= {arXiv preprint arXiv:2203.14462},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2101.10106