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math.AP2022★ 1 cited
Hamiltonian formulation of the stochastic surface wave problem
Evgueni Dinvay, Etienne Memin
We devise a stochastic Hamiltonian formulation of the water wave problem. This stochastic representation is built within the framework of the modelling under location uncertainty.…
math.AP2022★ 1 cited
A stochastic Benjamin-Bona-Mahony type equation
Evgueni Dinvay
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.…