Publications
My research has been published in:
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Book chapters:
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Progress in fully nonlinear potential flow modeling of 3D extreme ocean waves,
S.T. Grilli, F. Dias, P. Guyenne, C. Fochesato and F. Enet,
In Advances in Numerical Simulation of Nonlinear Water Waves
edited by Q.W. Ma (Series in Advances in Coastal and Ocean Engineering),
World Scientific Publishing, pp. 75-128 (2010).
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Journal papers:
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Simulation of a mixture model for ultrasound propagation through cancellous bone using staggered-grid finite differences,
R.P. Gilbert, P. Guyenne and J. Li,
J. Comput. Acoust. 21, 1250017, 29 pages (2013).
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Modeling of the kinetics of vitamin D3 in osteoblastic cells,
R.P. Gilbert, P. Guyenne and Y. Liu,
Math. Biosci. Engng 10, 319-344 (2013).
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Computations of fully nonlinear hydroelastic solitary waves on deep water,
P. Guyenne and E.I. Parau,
J. Fluid Mech. 713, 307-329 (2012).
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The surface signature of internal waves,
W. Craig, P. Guyenne and C. Sulem,
J. Fluid Mech. 710, 277-303 (2012).
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A quantitative ultrasound model of the bone with blood as the interstitial fluid,
R.P. Gilbert, P. Guyenne and M.Y. Ou,
Math. Comput. Model. 55, 2029-2039 (2012).
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Hamiltonian higher-order nonlinear Schrodinger equations for broader-banded waves on deep water,
W. Craig, P. Guyenne and C. Sulem,
Eur. J. Mech. B/Fluids 32, 22-31 (2012).
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Coupling between internal and surface waves,
W. Craig, P. Guyenne and C. Sulem,
Nat. Hazards 57, 617-642 (2011).
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A Hamiltonian approach to nonlinear modulation of surface water waves,
W. Craig, P. Guyenne and C. Sulem,
Wave Motion 47, 552-563 (2010).
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Well-posedness of the Cauchy problem for models of large amplitude internal waves,
P. Guyenne, D. Lannes and J.-C. Saut,
Nonlinearity 23, 237-275 (2010).
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Recovering fluid-type motions using Navier-Stokes potential flow,
F. Li, L. Xu, P. Guyenne and J. Yu,
In Proc. 23rd IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2010),
pp. 2448-2455, June 13-18 2010, San Francisco, USA.
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Water waves over a random bottom,
W. Craig, P. Guyenne and C. Sulem,
J. Fluid Mech. 640, 79-107 (2009).
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Numerical simulation of three-dimensional nonlinear water waves,
L. Xu and P. Guyenne,
J. Comput. Phys. 228, 8446-8466 (2009).
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Instability in supercritical nonlinear wave equations: theoretical results and symplectic integration,
S. Ibrahim and P. Guyenne,
Math. Comput. Simul. 80, 2-9 (2009).
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Determination of cancellous bone density using low frequency acoustic measurements,
R.P. Gilbert, P. Guyenne and G.C. Hsiao,
Applicable Analysis 87, 1213-1225 (2008).
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A flume experiment on the adjustment of the mean and turbulent statistics to a transition from short to tall sparse canopies,
A. Seraphin and P. Guyenne,
Boundary-Layer Meteorol. 129, 47-64 (2008).
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Long wave expansions for water waves over random topography,
A. de Bouard, W. Craig, O. Diaz-Espinosa, P. Guyenne and C. Sulem,
Nonlinearity 21, 2143-2178 (2008).
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Wave-breaking and generic singularities of nonlinear hyperbolic equations,
Y. Pomeau, M. Le Berre, P. Guyenne and S.T. Grilli,
Nonlinearity 21, T61-T79 (2008).
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Numerical homogenization of the time-harmonic acoustics of bone: The monophasic case,
M. Fang, R.P. Gilbert, P. Guyenne and A. Vasilic,
Int. J. Multiscale Comput. Engng 5, 461-471 (2007).
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A high-order spectral method for nonlinear water waves over moving bottom topography,
P. Guyenne and D.P. Nicholls,
SIAM J. Sci. Comput. 30, 81-101 (2007).
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Large-amplitude internal solitary waves in a two-fluid model,
P. Guyenne,
C. R. Mecanique 334, 341-346 (2006).
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Solitary water wave interactions,
W. Craig, P. Guyenne, J. Hammack, D. Henderson and C. Sulem,
Phys. Fluids 18, 057106, 25 pages (2006).
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Numerical study of three-dimensional overturning waves in shallow water,
P. Guyenne and S.T. Grilli,
J. Fluid Mech. 547, 361-388 (2006).
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Hamiltonian long wave expansions for free surfaces and interfaces,
W. Craig, P. Guyenne and H. Kalisch,
Comm. Pure Appl. Math. 58, 1587-1641 (2005).
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Note on non-orthogonality of local curvilinear coordinates in a three-dimensional
boundary element method,
C. Fochesato, S.T. Grilli and P. Guyenne,
Int. J. Numer. Meth. Fluids 48, 305-324 (2005).
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Numerical simulation of solitary waves on plane slopes,
P. Guyenne and D.P. Nicholls,
Math. Comput. Simul. 69, 269-281 (2005).
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Hamiltonian long wave expansions for water waves over a rough bottom,
W. Craig, P. Guyenne, D.P. Nicholls and C. Sulem,
Proc. R. Soc. A 461, 839-873 (2005).
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A new model for large amplitude long internal waves,
W. Craig, P. Guyenne and H. Kalisch,
C. R. Mecanique 332, 525-530 (2004).
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Turbulence of one-dimensional weakly nonlinear dispersive waves,
V.E. Zakharov, P. Guyenne, A.N. Pushkarev and F. Dias,
Contemp. Math. 283, 107-116 (2001).
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Kolmogorov spectra of weak turbulence in media with two types of interacting waves,
F. Dias, P. Guyenne and V.E. Zakharov,
Phys. Lett. A 291, 139-145 (2001).
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Wave turbulence in one-dimensional models,
V.E. Zakharov, P. Guyenne, A.N. Pushkarev and F. Dias,
Physica D 152-153, 573-619 (2001).
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A fully nonlinear model for three-dimensional overturning waves over an arbitrary bottom,
S.T. Grilli, P. Guyenne and F. Dias,
Int. J. Numer. Meth. Fluids 35, 829-867 (2001).
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Turbulence d'ondes dans des modeles unidimensionnels,
P. Guyenne, V.E. Zakharov, A.N. Pushkarev and F. Dias,
C. R. Acad. Sci. Paris 328, 757-762 (2000).
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Conference papers:
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Hamiltonian modulation theory for water waves on arbitrary depth,
W. Craig, P. Guyenne and C. Sulem,
In Proc. 21st International Offshore and Polar Engineering Conference (ISOPE 2011),
pp. 326-333, June 19-24 2011, Maui, Hawaii, USA.
Minor corrigendum: The second term in the expression of the free-surface elevation on page 332
should simply be the complex conjugate of the first term so that their sum is real.
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Recovering fluid-type motions using Navier-Stokes potential flow,
F. Li, L. Xu, P. Guyenne and J. Yu,
In Proc. 23rd IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2010),
pp. 2448-2455, June 13-18 2010, San Francisco, USA.
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Hamiltonian formulation for water waves over a variable bottom: asymptotic models and numerical simulations,
W. Craig, P. Guyenne and C. Sulem,
In Proc. 19th International Offshore and Polar Engineering Conference (ISOPE 2009),
pp. 988-995, June 21-26 2009, Osaka, Japan.
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Sur le deferlement des vagues (On the breaking of surface water waves),
Y. Pomeau, M. Le Bars, P. Le Gal, T. Jamin, M. Le Berre, P. Guyenne, S. Grilli and B. Audoly,
In Comptes Rendus de la 11eme Rencontre du Non Lineaire, March 26-27 2008, Institut Henri Poincare, Paris, France.
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Hamiltonian formulation and long wave models for internal waves,
W. Craig, P. Guyenne and H. Kalisch,
In Proc. 26th International Conference on Offshore Mechanics and Arctic Engineering (OMAE 2007),
pp. 309-319, June 10-15 2007, San Diego, USA.
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Solitary wave collisions,
J. Hammack, D. Henderson, P. Guyenne and M. Yi,
In Proc. 23rd International Conference on Offshore Mechanics and Arctic Engineering (OMAE 2004),
June 20-25 2004, Vancouver, Canada.
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Computations of 3D overturning waves in shallow water: Dynamics and kinematics,
P. Guyenne and S. T. Grilli,
In Proc. 13th International Offshore and Polar Engineering Conference (ISOPE 2003),
May 26-29 2003, Honolulu, Hawaii, USA.
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Three-dimensional numerical model for fully nonlinear waves over arbitrary bottom,
P. Guyenne, S. T. Grilli and F. Dias,
In Proc. 4th International Symposium on Ocean Wave Measurement and Analysis (Waves 2001),
September 2-6 2001, San Francisco, USA.
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Numerical modeling of fully nonlinear 3D overturning waves over arbitrary bottom,
P. Guyenne, S. T. Grilli and F. Dias,
In Proc. 27th International Conference on Coastal Engineering (ICCE 2000),
July 16-21 2000, Sydney, Australia.
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Modeling of overturning waves over arbitrary bottom in a 3D numerical wave tank,
S. T. Grilli, P. Guyenne and F. Dias,
In Proc. 10th International Offshore and Polar Engineering Conference (ISOPE 2000),
May 28-June 2 2000, Seattle, USA.
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Numerical computation of 3D overturning waves,
S. T. Grilli, P. Guyenne and F. Dias,
In Proc. 15th International Workshop on Water Waves and Floating Bodies (IWWWFB 2000),
February 27-March 1 2000, Caesarea, Israel.
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