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math.AP2016
A Splitting Method for Deep Water with Bathymetry
Afaf Bouharguane, Benjamin Melinand
In this paper we derive and prove the wellposedness of a deep water model that generalizes the Saut-Xu system for nonflat bottoms. Then, we present a new numerical method based on…
math.AP2016
Long wave approximation for water waves under a Coriolis forcing and the Ostrovsky equation
Benjamin Melinand
This paper is devoted to the study of the long wave approximation for water waves under the influence of the gravity and a Coriolis forcing. We start by deriving a generalization o…