Unique Ergodicity in Stochastic Electroconvection
Analysis of PDEs
2022-10-20 v1 Probability
Abstract
We consider a stochastic electroconvection model describing the nonlinear evolution of a surface charge density in a two-dimensional fluid with additive stochastic forcing. We prove the existence and uniqueness of solutions, we define the corresponding Markov semigroup, and we study its Feller properties. When the noise forces enough modes in phase space, we obtain the uniqueness of the smooth invariant measure for the Markov transition kernels associated with the model.
Cite
@article{arxiv.2210.10600,
title = {Unique Ergodicity in Stochastic Electroconvection},
author = {Elie Abdo and Nathan Glatt-Holtz and Mihaela Ignatova},
journal= {arXiv preprint arXiv:2210.10600},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2204.00684