Unique Measure for Time-Dependent Random Dynamical Systems
Analysis of PDEs
2016-07-01 v2
Abstract
This paper proves the uniqueness of measure for the two-dimensional Navier-Stokes equations under a random kick-force and a time-dependent deterministic force. By extending a result for uniqueness of measure for time-homogeneous Markov processes to the time-inhomogeneous case, it is shown that the measures are exponentially mixing for the 2D Navier-Stokes equations on the sphere.
Cite
@article{arxiv.1606.09212,
title = {Unique Measure for Time-Dependent Random Dynamical Systems},
author = {Gregory Varner},
journal= {arXiv preprint arXiv:1606.09212},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1505.05166