A stochastic Benjamin-Bona-Mahony type equation
arXiv:2201.04085 · doi:10.1007/978-3-031-18988-3_3
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.