Uniqueness for a Stochastic Inviscid Dyadic Model

David Barbato; Franco Flandoli; Francesco Morandin

Uniqueness for a Stochastic Inviscid Dyadic Model

Probability 2009-10-28 v1 Analysis of PDEs

Authors: David Barbato , Franco Flandoli , Francesco Morandin

Abstract

For the deterministic dyadic model of turbulence, there are examples of initial conditions in $l^2$ which have more than one solution. The aim of this paper is to prove that uniqueness, for all $l^2$ -initial conditions, is restored when a suitable multiplicative noise is introduced. The noise is formally energy preserving. Uniqueness is understood in the weak probabilistic sense.

Keywords

stochastic dynamics

Cite

@article{arxiv.0910.4974,
  title  = {Uniqueness for a Stochastic Inviscid Dyadic Model},
  author = {David Barbato and Franco Flandoli and Francesco Morandin},
  journal= {arXiv preprint arXiv:0910.4974},
  year   = {2009}
}

Comments

13 pages, no figures. Submitted to the Proceedings of the American Mathematical Society

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