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A stochastic Benjamin-Bona-Mahony type equation (2201.04085v2)
Published 11 Jan 2022 in math.AP
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.
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