Unique Measure for the Time-Periodic Navier-Stokes on the Sphere
Analysis of PDEs
2015-05-21 v1 Optimization and Control
Probability
Abstract
This paper proves the existence and uniqueness of a time-invariant measure for the 2D Navier-Stokes equations on the sphere under a random kick-force and a time-periodic deterministic force. Several examples of deterministic forces satisfying the necessary conditions for there to be a unique invariant measure are given. The support of the measure is examined and given explicitly for several cases.
Keywords
Cite
@article{arxiv.1505.05166,
title = {Unique Measure for the Time-Periodic Navier-Stokes on the Sphere},
author = {Gregory Varner},
journal= {arXiv preprint arXiv:1505.05166},
year = {2015}
}