Ergodicity of Burgers' system
Probability
2020-06-19 v1
Abstract
We consider a stochastic version of a system of coupled two equations formulated by Burgers with the aim to describe the laminar and turbulent motions of a fluid in a channel. The existence and uniqueness of the solution as well as the irreducibility property of such system were given by Twardowska and Zabczyk. In the paper the existence of a unique invariant measure is investigated. The paper generalizes the results of Da Prato, Debussche and Temam, and Da Prato and Gatarek, dealing with one equation describing the turbulent motion only.
Cite
@article{arxiv.2006.10049,
title = {Ergodicity of Burgers' system},
author = {Szymon Peszat and Krystyna Twardowska and Jerzy Zabczyk},
journal= {arXiv preprint arXiv:2006.10049},
year = {2020}
}
Comments
18 pages