A stochastic Benjamin-Bona-Mahony type equation
Analysis of PDEs
2023-05-10 v2
Abstract
Considered herein is a particular nonlinear dispersive stochastic equation. It was introduced recently in [3], as a model describing surface water waves under location uncertainty. The corresponding noise term is introduced through a Hamiltonian formulation, which guarantees the energy conservation of the flow. Here the initial-value problem is studied.
Cite
@article{arxiv.2201.04085,
title = {A stochastic Benjamin-Bona-Mahony type equation},
author = {Evgueni Dinvay},
journal= {arXiv preprint arXiv:2201.04085},
year = {2023}
}