Publications

My research has been published in:

I have also co-edited and contributed to a book

You can view my Google Scholar profile

 

Book:

  1. Hamiltonian Partial Differential Equations and Applications, edited by P. Guyenne, D. Nicholls and C. Sulem, Fields Institute Communications 75, Springer, 449 pages (2015).

Book chapters:

  1. The water wave problem and Hamiltonian transformation theory , W. Craig, P. Guyenne and C. Sulem, In Waves in Flows, edited by T. Bodnar, G.P. Galdi and S. Necasova, Advances in Mathematical Fluid Mechanics, Birkhauser, pp. 113-196 (2021).
  2. HOS simulations of nonlinear water waves in complex media , P. Guyenne, In Nonlinear Water Waves (An Interdisciplinary Interface), edited by D. Henry, K. Kalimeris, E.I. Parau, J.-M. Vanden-Broeck and E. Wahlen, Tutorials, Schools and Workshops in the Mathematical Sciences, Birkhauser, pp. 53-69 (2019).
  3. 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, Advances in Coastal and Ocean Engineering 11, World Scientific, pp. 75-128 (2010).
  4. Solitary-wave collisions , J. Hammack, D. Henderson, P. Guyenne and M. Yi, In Advances in Engineering Mechanics: Reflections and Outlooks (in honor of Theodore Y.-T. Wu), edited by A.T. Chwang, M.H. Teng and D.T. Valentine, World Scientific, pp. 173-194 (2005).

Feature articles:

  1. Walter’s pioneering work on water waves , P. Guyenne and C. Sulem, In Remembrances of Walter Craig, edited by C. Sulem and C.E. Wayne, Notices of the AMS 67, 522-525 (April 2020).
  2. Celebrating the life of Walter Craig (1953-2019), P. Guyenne, D. Pelinovsky and C. Sulem, SIAM News Blog, January 30 (2019).

Journal papers:

  1. A boundary perturbation method to simulate nonlinear deformations of a two-dimensional bubble, P. Guyenne, Int. J. Multiph. Flow 173, 104749 (2024).
  2. Normal form transformations for modulated deep-water gravity waves , P. Guyenne, A. Kairzhan and C. Sulem, Rev. Un. Mat. Argentina 64, 281-308 (2023).
  3. Nonlinear simulation of wave group attenuation due to scattering in broken floe fields , B. Xu and P. Guyenne, Ocean Model. 181, 102139 (2023).
    A detailed comparison with field measurements by Wadhams et al. (1988) in the Arctic Ocean, concerning in particular the roll-over phenomenon, does not appear in the published manuscript but can be found in the earlier ArXiv preprint.
  4. A Hamiltonian Dysthe equation for deep-water gravity waves with constant vorticity , P. Guyenne, A. Kairzhan and C. Sulem, J. Fluid Mech. 949, A50 (2022).
  5. Hamiltonian Dysthe equation for three-dimensional deep-water gravity waves , P. Guyenne, A. Kairzhan and C. Sulem, Multiscale Model. Simul. 20, 349-378 (2022).
  6. Assessment of a porous viscoelastic model for wave attenuation in ice-covered seas , B. Xu and P. Guyenne, Appl. Ocean Res. 122, 103122 (2022).
  7. Spatial form of a Hamiltonian Dysthe equation for deep-water gravity waves (open access) , P. Guyenne, A. Kairzhan, C. Sulem and B. Xu, Fluids 6, 103 (2021).
  8. Normal form transformations and Dysthe’s equation for the nonlinear modulation of deep-water gravity waves , W. Craig, P. Guyenne and C. Sulem, Water Waves 3, 127-152 (2021).
  9. Internal flow properties in a capillary bore , W.-Y. Wong, M. Bjornestad, C. Lin, M.-J. Kao, H. Kalisch, P. Guyenne, V. Roeber and J.-M. Yuan, Phys. Fluids 31, 113602 (2019).
  10. Dispersion and attenuation in a porous viscoelastic model for gravity waves on an ice-covered ocean , H. Chen, R.P. Gilbert and P. Guyenne, Eur. J. Mech. B/Fluids 78, 88-105 (2019).
  11. A Biot model for the determination of material parameters of cancellous bone from acoustic measurements , H. Chen, R.P. Gilbert and P. Guyenne, Inverse Problems 34, 085009 (2018).
  12. A high-order spectral method for nonlinear water waves in the presence of a linear shear current , P. Guyenne, Comput. Fluids 154, 224-235 (2017).
  13. A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations , M. Li, P. Guyenne, F. Li and L. Xu, J. Sci. Comput. 71, 994-1034 (2017).
  14. Numerical study of solitary wave attenuation in a fragmented ice sheet , P. Guyenne and E.I. Parau, Phys. Rev. Fluids 2, 034002 (2017).
  15. An operator expansion method for computing nonlinear surface waves on a ferrofluid jet , P. Guyenne and E.I. Parau, J. Comput. Phys. 321, 414-434 (2016).
  16. Recovery of parameters of cancellous bone by acoustic interrogation , R.P. Gilbert, P. Guyenne and M. Shoushani, Inv. Probl. Sci. Engng 24, 284-316 (2016).
  17. Envelope equations for three-dimensional gravity and flexural-gravity waves based on a Hamiltonian approach , P. Guyenne, Fields Inst. Commun. 75, 135-161 (2015).
  18. Internal waves coupled to surface gravity waves in three dimensions , W. Craig, P. Guyenne and C. Sulem, Commun. Math. Sci. 13, 893-910 (2015).
  19. Finite-depth effects on solitary waves in a floating ice sheet , P. Guyenne and E.I. Parau, J. Fluids Struct. 49, 242-262 (2014).
  20. Numerical investigation of ultrasonic attenuation through 2D trabecular bone structures reconstructed from CT scans and random realizations , R.P. Gilbert, P. Guyenne and J. Li, Comput. Biol. Med. 45, 143-156 (2014). (among TOP 10 PAPERS  of the year 2014)
  21. High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model , M. Li, P. Guyenne, F. Li and L. Xu, J. Comput. Phys. 257, 169-192 (2014).
  22. A viscoelastic model for random ultrasound propagation in cancellous bone , R.P. Gilbert, P. Guyenne and J. Li, Comput. Math. Applic. 66, 943-964 (2013).
  23. 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).
  24. 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).
  25. Computations of fully nonlinear hydroelastic solitary waves on deep water , P. Guyenne and E.I. Parau, J. Fluid Mech. 713, 307-329 (2012).
  26. The surface signature of internal waves , W. Craig, P. Guyenne and C. Sulem, J. Fluid Mech. 710, 277-303 (2012).
  27. 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).
  28. 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).
  29. Coupling between internal and surface waves , W. Craig, P. Guyenne and C. Sulem, Nat. Hazards 57, 617-642 (2011).
  30. A Hamiltonian approach to nonlinear modulation of surface water waves , W. Craig, P. Guyenne and C. Sulem, Wave Motion 47, 552-563 (2010).
  31. 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).
  32. 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.
  33. Water waves over a random bottom , W. Craig, P. Guyenne and C. Sulem, J. Fluid Mech. 640, 79-107 (2009).
  34. Numerical simulation of three-dimensional nonlinear water waves , L. Xu and P. Guyenne, J. Comput. Phys. 228, 8446-8466 (2009).
  35. Instability in supercritical nonlinear wave equations: theoretical results and symplectic integration , S. Ibrahim and P. Guyenne, Math. Comput. Simul. 80, 2-9 (2009).
  36. 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).
  37. 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).
  38. 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).
  39. 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).
  40. 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).
  41. 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).
  42. Large-amplitude internal solitary waves in a two-fluid model , P. Guyenne, C. R. Mecanique 334, 341-346 (2006).
  43. Solitary water wave interactions , W. Craig, P. Guyenne, J. Hammack, D. Henderson and C. Sulem, Phys. Fluids 18, 057106 (2006).
  44. Numerical study of three-dimensional overturning waves in shallow water , P. Guyenne and S.T. Grilli, J. Fluid Mech. 547, 361-388 (2006).
  45. Hamiltonian long wave expansions for free surfaces and interfaces , W. Craig, P. Guyenne and H. Kalisch, Commun. Pure Appl. Math. 58, 1587-1641 (2005).
  46. 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).
  47. Numerical simulation of solitary waves on plane slopes , P. Guyenne and D.P. Nicholls, Math. Comput. Simul. 69, 269-281 (2005).
  48. 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).
  49. A new model for large amplitude long internal waves , W. Craig, P. Guyenne and H. Kalisch, C. R. Mecanique 332, 525-530 (2004).
  50. 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).
  51. 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).
  52. Wave turbulence in one-dimensional models , V.E. Zakharov, P. Guyenne, A.N. Pushkarev and F. Dias, Physica D 152-153, 573-619 (2001).
  53. 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).
  54. 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).

Conference papers:

  1. A continuum poroelastic model for gravity waves on an ice-covered ocean, H. Chen, R.P. Gilbert and P. Guyenne, In Proc. 29th International Ocean and Polar Engineering Conference (ISOPE 2019), pp. 2431-2437, June 16-21 2019, Honolulu, Hawaii, USA.
  2. A high-order spectral method for a vertical 2D model of nonlinear water waves interacting with a linear shear current, P. Guyenne, In Proc. 28th International Ocean and Polar Engineering Conference (ISOPE 2018), pp. 436-443, June 10-15 2018, Sapporo, Japan.
  3. Numerical simulation of solitary-wave scattering and damping in fragmented sea ice, P. Guyenne and E.I. Parau, In Proc. 27th International Ocean and Polar Engineering Conference (ISOPE 2017), pp. 373-380, June 25-30 2017, San Francisco, USA.
  4. Asymptotic modeling and numerical simulation of solitary waves in a floating ice sheet, P. Guyenne and E.I. Parau, In Proc. 25th International Ocean and Polar Engineering Conference (ISOPE 2015), pp. 467-475, June 21-26 2015, Kona, Big Island, Hawaii, USA.
  5. Forced and unforced flexural-gravity solitary waves, P. Guyenne and E.I. Parau, In Proc. IUTAM  11, 44-57 (2014) of the Symposium on Nonlinear Interfacial Wave Phenomena from the Micro to the Macro-Scale, April 14-18 2013, Limassol, Cyprus.
  6. 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.
  7. 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.
  8. 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.
  9. 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, pp. 155-160, March 26-27 2008, Institut Henri Poincare, Paris, France.
  10. 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.
  11. 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), pp. 347-352, May 26-29 2003, Honolulu, Hawaii, USA.
  12. 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), pp. 1072-1081, September 2-6 2001, San Francisco, USA.
  13. 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), pp. 417-428, July 16-21 2000, Sydney, Australia.
  14. 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), pp. 221-228, May 28-June 2 2000, Seattle, USA.
  15. 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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