| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
|
|
|---|---|---|
| Article Number | 51 | |
| Number of page(s) | 17 | |
| DOI | https://doi.org/10.1051/mmnp/2021041 | |
| Published online | 17 September 2021 | |
Invariant measure of stochastic higher order KdV equation driven by Poisson processes*
1
College of Liberal Arts and Science, National University of Defense Technology,
Changsha
410073, PR China.
2
College of Mathematics and Information Science, Henan Normal University,
Xinxiang,
Henan
453007, PR China.
** Corresponding author: jhhuang32@nudt.edu.cn
Received:
27
March
2020
Accepted:
13
July
2021
The current paper is devoted to stochastic damped higher order KdV equation driven by Poisson process. We establish the well-posedness of stochastic damped higher-order KdV equation, and prove that there exists an unique invariant measure for non-random initial conditions. Some discussion on the general pure jump noise case are also provided. Some numerical simulations of the invariant measure are provided to support the theoretical results.
Mathematics Subject Classification: 60H15 / 37L55
Key words: Invariant measure / damped KdV equation / pure jump noises
© The authors. Published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.