Invariant measures for a stochastic Kuramoto-Sivashinky equation
Probability
2009-09-29 v2 Analysis of PDEs
Abstract
For the 1-dimensional Kuramoto-Sivashinsky equation with random forcing term, existence and uniqueness of solutions is proved. Then, the Markovian semigroup is well defined; its properties are analyzed, in order to provide sufficient conditions for existence and uniqueness of invariant measures for this stochastic equation. Finally, regularity results are presented.
Keywords
Cite
@article{arxiv.0705.3321,
title = {Invariant measures for a stochastic Kuramoto-Sivashinky equation},
author = {B. Ferrario},
journal= {arXiv preprint arXiv:0705.3321},
year = {2009}
}
Comments
25 pages; changed Section 6.3