[29] W. Craig, D. Lannes, C. Sulem, Water waves over a rough bottom in the shallow water regime, to appear in Annales de l'Institut Henri Poincarsé/Analyse non linséaire.
Article: [.pdf].
[28] M. Tissier, P. Bonneton, F. Marche, F. Chazel, D. Lannes, Nearshore dynamics of tsunami-like undular bores using a fully-nonlinear Boussinesq model , to appear in Journal of Coastal Research.
Revised preprint: [.pdf] .
[27] D. Lannes, High frequency nonlinear optics: from the nonlinear Schrodinger approximation to ultrashort pulses equations , to appear in Proceedings of the Royal Society of Edinburgh, Section: A Mathematics.
141 (2011), 253-286
Article: [.pdf] .
[26] P. Bonneton, F. Chazel, D. Lannes, F. Marche, M. Tissier A splitting approach for the fully nonlinear and weakly
dispersive Green-Naghdi model
, J. Comput. Phys. 230 (2011), 1479-1498
Article: [.pdf] .
[25] (Review) P. Bonneton, E. Barthelemy, J. D. Carter, F. Chazel, R. Cienfuegos, D. Lannes, F. Marche, M. Tissier Fully nonlinear weakly dispersive modelling of wave
transformation, breaking and runup
, to appear in Eur. J. of Mech.-B/Fluids
Revised preprint: [.pdf] .
[24] F. Chazel, D. Lannes, F. Marche Numerical simulation of strongly nonlinear and
dispersive waves using a Green-Naghdi model, to appear in J. Scientific Computing
Preprint: [.pdf] .
[23] (Review) C. Bardos, D. Lannes Mathematics for 2d interfaces, to appear in Panorama et Synthèses
Preprint: [.pdf].
[22] P. Guyenne, D. Lannes, J.-C. Saut Well-posedness of the Cauchy problem for models of
large amplitude internal waves, Nonlinearity 23 (2010), 237-275.
Article: [.pdf].
[21] M. Colin, D. Lannes Short pulses approximations in dispersive media, SIAM J. Math. Anal. 41 (2009), 708-732.
Article: [.pdf] .
[20] P. Bonneton, D. Lannes Derivation of asymptotic two-dimensional time-dependent equations or surface water wave propagation , Physics of Fluids 21 (2009), 016601.
Article: [.pdf] .
[19] A. Constantin, D. Lannes The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations , Arch. Ration. Mech. Anal. 192 (2009), 165-186.
Article: [.pdf].
[18] J. Bona, D. Lannes, J.-C. Saut Asymptotic models for internal waves, J. Math. Pures Appl. , 89 (2008), 538-566.
Article: [.pdf] .
[17] B. Alvarez-Samaniego, D. Lannes Large time existence for 3D water-waves and asymptotics, Invent. Math. , 171 (2008), 485-541.
Article: [.pdf] .
[16] B. Alvarez-Samaniego, D. Lannes A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations, Indiana Univ. Math. J., 57 (2008), 97-131.
Article: [.pdf] .
[15] (book chapter) D. Lannes, Justifying 3D asymptotics for water-waves, to appear in ``Instability in Models Connected with Fluid Flow II'', Int. Math. Ser. vol 7, edited by Claude Bardos and Andrey Fursikov, ``International Mathematical Series'' , Springer (2008).
Revised preprint version: [.pdf] .
[14] D. Lannes, J.-C. Saut Weakly transverse Boussinesq systems and the KP approximation, Nonlinearity , 19 (2006), 2853-2875.
Article: [.pdf]
[13] D. Lannes Sharp Estimates for pseudo-differential operators with symbolsof limited smoothness and commutators, J. Funct. Anal. , 232 (2006), 495-539.
Article: [.pdf]
[12] D. Lannes Well-Posedness of the Water Waves Equations, J. Am. Math. Soc., 18 (2005), 605-654.
Article: [.pdf]
[11] J. Bona, T. Colin, D. Lannes Long Wave Approximations for Water-Waves, Arch. Ration. Mech. Anal., 178 (2005), 373-410.
Article: [.pdf]
[10] T. Colin, D. Lannes Justification
of and long-wave correction to Davey-Stewartson systems from quadratic
hyperbolic systems,
Discrete and Continuous Dynamical Systems,
11 (2004), 83-100.
Article: [.pdf]
[9] R. Carles, D. Lannes, Focusing of a pulse with arbitrary phase shift for a
nonlinear wave equation, Bulletin de la Société
Mathématique de France, 131
(2003), 289-306.
Article: [.pdf] .
[8] D. Lannes Secular
growth estimates for hyperbolic systems, Journal of Differential
Equations 190 (2003), no. 2,
466-503.
Article:
[.pdf] .
[7] K. Barrailh,
D. Lannes A general framework for diffractive optics and its
applications to lasers with large spectrum and short pulses, SIAM,
Journal on Mathematical Analysis 34 (2003), no. 3, 636-674.
Article:
[.pdf] .
[6] W. Ben Youssef,
D. Lannes The long wave limit for a general class of 2D quasilinear
hyperbolic problems Comm. Partial Differential Equations. 27
(2002), 979-1020.
Preprint:
[.ps.gz] .
[5] C. Besse, D. Lannes,
A numerical study of the long-wave short-wave resonance for 3D water waves Eur. J. of Mech.-B/Fluids 20
(2001), 627-650.
Article:
[.pdf] .
[4] T. Colin, D. Lannes
Long-wave short-wave resonance for nonlinear geometric optics,
Duke Math. J. 107 (2001), no. 2, 351-419.
Article:
[.pdf].
[3] D. Lannes Nonlinear
geometrical optics for oscillatory wave trains with a continuous
oscillatory spectrum,
Adv. Differential Equations 6 (2001), no. 6, 731--768.
Article:
[.pdf] .
[2] D. Lannes, J. RauchValidity of Nonlinear Geometric Optics with Times Growing
Logarithmically, Proc. Amer. Math. Soc. 129 (2001),
1087-1096.
Article: [.pdf] .
[1] D. Lannes Dispersion
effects for nonlinear geometrical optics with rectification,
Asymptotic Analysis 18 (1998) 111-146.
Article:
[.pdf] .