English

Stationary Solutions of Damped Stochastic 2-dimensional Euler's Equation

Probability 2019-01-23 v1

Abstract

Existence of stationary point vortices solution to the damped and stochastically driven Euler's equation on the two dimensional torus is proved, by taking limits of solutions with finitely many vortices. A central limit scaling is used to show in a similar manner the existence of stationary solutions with white noise marginals.

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Cite

@article{arxiv.1901.06744,
  title  = {Stationary Solutions of Damped Stochastic 2-dimensional Euler's Equation},
  author = {Francesco Grotto},
  journal= {arXiv preprint arXiv:1901.06744},
  year   = {2019}
}

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24 pages