Invariant Measures for a Stochastic Electroconvection Model
Analysis of PDEs
2022-04-12 v2 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 and we show that the corresponding Markov semigroup is weak Feller. We also prove the existence of invariant measures for the Markov transition kernels associated with the model.
Cite
@article{arxiv.2204.00684,
title = {Invariant Measures for a Stochastic Electroconvection Model},
author = {Elie Abdo and Mihaela Ignatova},
journal= {arXiv preprint arXiv:2204.00684},
year = {2022}
}