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Philippe Guyenne
Researcher at University of Delaware
Publications - 71
Citations - 2251
Philippe Guyenne is an academic researcher from University of Delaware. The author has contributed to research in topics: Nonlinear system & Hamiltonian (quantum mechanics). The author has an hindex of 23, co-authored 68 publications receiving 2006 citations. Previous affiliations of Philippe Guyenne include McMaster University & Centre national de la recherche scientifique.
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A fully non‐linear model for three‐dimensional overturning waves over an arbitrary bottom
TL;DR: In this article, an accurate three-dimensional numerical model, applicable to strongly non-linear waves, is proposed, where boundary geometry and field variables are represented by 16-node cubic ‘sliding’ quadrilateral elements, providing local inter-element continuity of the first and second derivatives.
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Hamiltonian Long Wave Expansions for Free Surfaces and Interfaces
TL;DR: In this paper, a Hamiltonian perturbation theory for the long wave limits is developed, and a systematic analysis of the principal long wave scaling regimes is carried out, including the Boussinesq and KdV regimes, the Benjamin-Ono regimes, and the intermediate long wave regimes.
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Solitary water wave interactions
TL;DR: In this paper, it was shown that solitary waves for the full Euler equations do not collide elastically; after interactions, there is a nonzero residual wave that trails the post-collision solitary waves.
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Hamiltonian long-wave expansions for water waves over a rough bottom
TL;DR: In this paper, the authors considered the problem of wave motion of the free surface of a body of fluid with a periodically varying bottom, and derived the Euler equations for water waves in a Boussinesq scaling regime.
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Numerical study of three-dimensional overturning waves in shallow water
TL;DR: In this article, a three-dimensional numerical wave tank was used to investigate the shoaling and breaking of solitary waves over a sloping ridge, and it was observed that the transverse modulation of the ridge topography induces threedimensional effects on the time evolution, shape and kinematics of breaking waves.