Abstract
AbstractConsidered herein is a particular nonlinear dispersive stochastic equation. It was introduced recently in Dinvay and Mémin (Proc. R. Soc. A. 478:20220050, 2022), 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.
Publisher
Springer International Publishing
Cited by
1 articles.
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1. Hamiltonian formulation of the stochastic surface wave problem;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-09