Stability properties of some port-Hamiltonian SPDEs
Probability
2024-08-23 v2 Mathematical Physics
math.MP
Abstract
We examine the existence and uniqueness of invariant measures of a class of stochastic partial differential equations with Gaussian and Poissonian noise and its exponential convergence. This class especially includes a case of stochastic port-Hamiltonian equations.
Keywords
Cite
@article{arxiv.2301.05640,
title = {Stability properties of some port-Hamiltonian SPDEs},
author = {Peter Kuchling and Barbara Rüdiger and Baris Ugurcan},
journal= {arXiv preprint arXiv:2301.05640},
year = {2024}
}