On the long-time behavior of a perturbed conservative system with degeneracy
Probability
2019-02-26 v2
Abstract
We consider in this work a model conservative system subject to dissipation and Gaussian-type stochastic perturbations. The original conservative system possesses a continuous set of steady states, and is thus degenerate. We characterize the long-time limit of our model system as the perturbation parameter tends to zero. The degeneracy in our model system carries features found in some partial differential equations related, for example, to turbulence problems.
Keywords
Cite
@article{arxiv.1808.01510,
title = {On the long-time behavior of a perturbed conservative system with degeneracy},
author = {Wenqing Hu},
journal= {arXiv preprint arXiv:1808.01510},
year = {2019}
}
Comments
Revised version. We added a Section 6 on the connection with the Euler-Arnold equation. To appear at Journal of Theoretical Probability