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Paper

Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model

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Published 15 February 2016 • © 2016 IOP Publishing Ltd & London Mathematical Society
, , Citation Luisa Andreis et al 2016 Nonlinearity 29 1156 DOI 10.1088/0951-7715/29/3/1156

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Author e-mails

andreis@math.unipd.it

barbato@math.unipd.it

francesca.collet@unibo.it

marco.formentin@rub.de

proz@math.unipd.it

Author affiliations

1 Dipartimento di Matematica, Università degli Studi di Padova, via Trieste 63, 35121 Padova, Italy

2 Dipartimento di Matematica, Alma Mater Studiorum Università di Bologna, piazza di Porta San Donato 5, 40126 Bologna, Italy

3 Dipartimento di Fisica e Astronomia 'Galileo Galilei', Università degli Studi di Padova, via Marzolo 8, 35131 Padova, Italy

4 UTIA, Academy of Sciences of the Czech Republic, CZ-18208 Prague Czech Republic

Dates

  1. Received 2 October 2014
  2. Accepted 20 January 2016
  3. Published

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0951-7715/29/3/1156

Abstract

We consider an inviscid stochastically forced dyadic model, where the additive noise acts only on the first component. We prove that a strong solution for this problem exists and is unique by means of uniform energy estimates. Moreover, we exploit these results to establish strong existence and uniqueness of the stationary distribution.

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10.1088/0951-7715/29/3/1156