{"id":67,"date":"2019-01-13T23:07:30","date_gmt":"2019-01-13T22:07:30","guid":{"rendered":"https:\/\/davidlannes.wordpress.com\/?page_id=67"},"modified":"2025-09-17T11:04:07","modified_gmt":"2025-09-17T09:04:07","slug":"publi2","status":"publish","type":"page","link":"https:\/\/david-lannes.perso.math.cnrs.fr\/?page_id=67","title":{"rendered":"Journal articles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Submitted<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>T. Iguchi, D. Lannes, The moving contact line problem for the nonlinear 2D nonlinear shallow water equations, <a href=\"https:\/\/arxiv.org\/pdf\/2501.17503\">https:\/\/arxiv.org\/pdf\/2501.<\/a><\/li>\n\n\n\n<li>M. Rigal, P. Bonneton, D. Lannes, <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2025\/09\/OpenBoundary_Boussinesq.pdf\" data-type=\"link\" data-id=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2025\/09\/OpenBoundary_Boussinesq.pdf\">A new open boundary condition for Boussinesq-type models<\/a>, applied to irregular wave fields, submitted.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Published<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>D. Lannes, M. Ming, Well posedness of F. John&rsquo;s floating body problem for a fixed object, Revista Matem\u00e1tica Iberoamericana, to appear,  <a href=\"https:\/\/arxiv.org\/abs\/2407.18082\">https:\/\/arxiv.org\/abs\/2407.18082<\/a>.<\/li>\n\n\n\n<li>G. Beck, D. Lannes, L. Weynans, <em>A numerical method for wave-structure interactions in the Boussinesq regime<\/em>, ESAIM: M2AN, to appear, <a href=\"https:\/\/arxiv.org\/abs\/2307.01749\">https:\/\/arxiv.org\/abs\/2307.01749<\/a>.<\/li>\n\n\n\n<li>T. Iguchi, D. Lannes, <a href=\"https:\/\/ems.press\/journals\/jems\/articles\/14298812\">The nonlinear shallow water equations with a partially immersed obstacle<\/a>, J. European Math. Soc, (2025), to appear.<\/li>\n\n\n\n<li>D. Lannes, M. Rigal, <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2024\/11\/Stud-Appl-Math-2024-Lannes-General-boundary-conditions-for-a-Boussinesq-model-with-varying-bathymetry.pdf\" data-type=\"link\" data-id=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2024\/11\/Stud-Appl-Math-2024-Lannes-General-boundary-conditions-for-a-Boussinesq-model-with-varying-bathymetry.pdf\">General boundary conditions for a Boussinesq model with varying bathymetry<\/a>, Studies in Applied Math. <strong>153<\/strong> (2024).<\/li>\n\n\n\n<li>A. Filippini, L. Arpaia, V. Perrier, R. Pedreros, P. Bonneton, D. Lannes, F. Marche, S. De Brye, S. Delmas, S. Lecacheux, F. Boulahya, M. Ricchiuto, <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2025\/09\/1-s2.0-S1463500324001343-main.pdf\" data-type=\"link\" data-id=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2025\/09\/1-s2.0-S1463500324001343-main.pdf\">An operational discontinuous Galerkin shallow water model for coastal flood assessment<\/a>, Ocean Modelling 192 (2024), 102447.<\/li>\n\n\n\n<li>D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2022\/04\/Bressanone_lannes.pdf\">Initial boundary value problems for hyperbolic systems, and dispersive perturbations<\/a><\/em>, Lecture notes of the Winter School on Fluid Dynamics, Dispersive Equations and Quantum Fluids (Bressanone, 2018), 59 p., to appear. <\/li>\n\n\n\n<li>K Martins, P Bonneton, D Lannes, H Michallet, <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2021\/11\/15200485-Journal-of-Physical-Oceanography-Relation-between-Orbital-Velocities-Pressure-and-Surface-Elevation-in-Nonlinear-Nearshore-Water-Waves.pdf\"><em>Relation between Orbital Velocities, Pressure, and Surface Elevation in Nonlinear Nearshore Water Waves<\/em><\/a>, Journal of Physical Oceanography <strong>51<\/strong> (2021), 3539-3556. <\/li>\n\n\n\n<li>G. Beck, D. Lannes, <em><a href=\"https:\/\/hal.archives-ouvertes.fr\/hal-03122615\">Freely Floating Objects on a Fluid Governed by the Boussinesq Equations<\/a><\/em>, Ann. IHP\/Analyse non lin\u00e9aire, <strong>39<\/strong> (2022), 575\u2013646.<\/li>\n\n\n\n<li>D. Bresch, D. Lannes, G. M\u00e9tivier, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/02\/transmission-final.pdf\">Waves interacting with a partially immersed obstacle in the Boussinesq regime<\/a><\/em>, Analysis &amp; PDE, <strong>14<\/strong> (2021), 1085-1124.<\/li>\n\n\n\n<li>T. Iguchi, D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2021\/11\/8201-41.pdf\">Hyperbolic free boundary problems and applications to wave-structure interaction<\/a><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/05\/8201.pdf\">s<\/a><\/em>, Indiana U. Math. J. <strong>70<\/strong> (2021), 353\u2013464.<\/li>\n\n\n\n<li>D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2021\/11\/modelinSW.pdf.zip\">Modeling shallow water waves<\/a><\/em>, Nonlinearity 33 (2020), R1<\/li>\n\n\n\n<li>B. Desjardins, D. Lannes, J.-C. Saut,<em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2021\/01\/Desjardins_et_al-2020-Water_Waves.pdf\">Normal mode  decomposition and dispersive and nonlinear mixing in stratified fluids<\/a>,<\/em> Water Waves (2020), 1-40.<\/li>\n\n\n\n<li>D. Lannes, L. Weynans,<em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2021\/01\/Lannes_2020_Nonlinearity_33_6868.pdf\">Generating boundary conditions for a Boussinesq system<\/a><\/em>, <em>Nonlinearity<\/em> <strong>33<\/strong><em> <\/em>(2020), 6868.<\/li>\n\n\n\n<li>A. Mouragues, P. Bonneton, D. Lannes, B. Castelle, and V. Marieu, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/05\/mourague_etal.pdf.zip\">Field data-based evaluation of methods for recovering surface wave elevation from pressure measurements<\/a>,<\/em> Coastal Engineering, <strong>150<\/strong> (2019), 147\u2013159.<\/li>\n\n\n\n<li>D. Lannes, G. M\u00e9tivier, <em><a href=\"http:\/\/jep.cedram.org\/cedram-bin\/article\/JEP_2018__5__455_0.pdf\">The shoreline problem for the one-dimensional shallow water and Green- Naghdi equations<\/a>,<\/em> J. Ec. Polytech. Math., <strong>5<\/strong> (2018), 455\u2013518.<\/li>\n\n\n\n<li>P. Bonneton, D. Lannes, K. Martins, H. Michallet, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bonneton_etal_coastaleng2018.pdf\">A nonlinear weakly dispersive method for recovering the elevation of irrotational surface waves from pressure measurements<\/a>,<\/em> Coastal Engineering <strong>138<\/strong> (2018), 1\u20138.<\/li>\n\n\n\n<li>P. Bonneton, D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bl_jfm2017-1.pdf\">Recovering water wave elevation from pressure measurements<\/a><\/em>, J. Fluid Mechanics <strong>833<\/strong> (2017), 399-429. <\/li>\n\n\n\n<li>D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/floating.pdf\">On the dynamics of floating structures<\/a>,<\/em> Annals of PDE <strong>3<\/strong> (2017):11.<\/li>\n\n\n\n<li>D. Lannes, F. Marche, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/lannes_et_al-2016-studies_in_applied_mathematics.pdf\">Nonlinear wave-current interactions in shallow water<\/a><\/em>, Studies in Applied Mathematics <strong>136<\/strong> (2016), 382-423.<\/li>\n\n\n\n<li>E. Dumas, D. Lannes, J. Szeftel, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/dumaslannesszeftel.pdf\">Variants of the Focusing NLS Equation: Derivation, Justification, and Open Problems Related to Filamentation In Laser Filamentation<\/a><\/em>, CRM Series in Mathematical Physics, pages 19-75. Springer International Publishing, 2016.<\/li>\n\n\n\n<li>D. Lannes, M. Ming, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/lannesming.pdf\">The Kelvin-Helmholtz Instabilities in Two-Fluids Shallow Water Models<\/a><\/em>, In Hamiltonian Partial Differential Equations and Applications, Fields Institute Communications <strong>75<\/strong>, pages 185-234. Springer-Verlag New York, 2015.<\/li>\n\n\n\n<li>A. Castro, D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/castrolannesiujm.pdf\">Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity<\/a><\/em>, Indiana Univ. Math. J. <strong>64<\/strong> (2015), 1169-1270.<\/li>\n\n\n\n<li>D. Lannes, F. Marche, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/marchelannesjcp.pdf\">A new class of fully nonlinear and weakly dispersive green-naghdi models for efficient 2d simulations<\/a><\/em>, J. Comput. Phys <strong>282<\/strong> (2015), 238-268.<\/li>\n\n\n\n<li>A. Castro, D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/castrolannes.pdf\">Fully nonlinear long-wave models in the presence of vorticity<\/a><\/em>, J. Fluid Mech. <strong>759<\/strong> (2014), 642-675.<\/li>\n\n\n\n<li>D. Lannes, J.-C. Saut, <em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/kpfd.pdf\">Remarks on the full dispersion Kadomtsev-Petviashvli equation<\/a> <\/em>, Kinet. Relat. Models <strong>6<\/strong> (2013), 989-1009.<\/li>\n\n\n\n<li> <strong>(book)<\/strong>D. Lannes, <em>The Water Waves Problem: Mathematical Analysis and Asymptotics, <\/em> volume 188 of Mathematical Surveys and Monographs. AMS, 2013.<\/li>\n\n\n\n<li>D. Lannes, <em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/lannes_kh_arma.pdf\">A stability criterion for two-fluid interfaces and applications<\/a>, <\/em> Arch. Ration. Mech. Anal. <strong>208<\/strong> (2013), 481-567. <\/li>\n\n\n\n<li>D. Lannes, <em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bourbaki.pdf\">Space time resonances <\/a><\/em> [after Germain, Masmoudi, Shatah], S\u00e9minaire BOURBAKI 64eme ann\u00e9e, 2011-2012, no 1053 <\/li>\n\n\n\n<li>D. Lannes, F. Linares, J.-C. Saut, <em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/zk.pdf\">The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation<\/a> <\/em>, \u00ab\u00a0Perspectives in Phase Space Analysis of PDE&rsquo;s\u00a0\u00bb, Birkhauser series \u00ab\u00a0Progress in Nonlinear Differential Equations and Their Applications\u00a0\u00bb.<\/li>\n\n\n\n<li>M. Tissier, P. Bonneton, F. Marche, F. Chazel, D. Lannes, <em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/papiercoastal.pdf\">A new approach to handle wave breaking in fully non-linear Boussinesq models<\/a>,<\/em> Coastal Engineering <strong>67<\/strong> (2012), 54-66. <\/li>\n\n\n\n<li>W. Craig, D. Lannes, C. Sulem, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/rough.pdf\">Water waves over a rough bottom in the shallow water regime<\/a>,<\/em>  Annales de l&rsquo;Institut Henri Poincar\u00e9\/Analyse non lins\u00e9aire.<strong> 29 <\/strong> (2012), 233-259. <\/li>\n\n\n\n<li>M. Tissier, P. Bonneton, F. Marche, F. Chazel, D. Lannes, <em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/tsunami_jcr.pdf\">Nearshore dynamics of tsunami-like undular bores using a fully-nonlinear Boussinesq model<\/a> <\/em>,  Journal of Coastal Research <strong> 64 <\/strong> (2011), 603-607.   <\/li>\n\n\n\n<li>D. Lannes, <em> H<a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/edinb.pdf\">igh frequency nonlinear optics: from the nonlinear Schrodinger approximation to ultrashort pulses equations <\/a><\/em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/edinb.pdf\">,<\/a>   Proceedings of the Royal Society of Edinburgh, Section: A Mathematics.  <strong> 141 <\/strong> (2011), 253-286 <\/li>\n\n\n\n<li>P. Bonneton, F. Chazel, D. Lannes, F. Marche, M. Tissier <em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bclmt.pdf\">A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model <\/a>,<\/em> J. Comput. Phys. <strong> 230 <\/strong> (2011), 1479-1498.<\/li>\n\n\n\n<li>P. Bonneton, E. Barthelemy, F. Chazel, R. Cienfuegos, D. Lannes, F. Marche, M. Tissier <em> <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bbcclmt.pdf\">Recent advances in Serre-Green Naghdi modelling for wave transformation, breaking and runup processes<\/a> ,<\/em> Eur. J. of Mech.-B\/Fluids <strong> 30 <\/strong> (2011), 589-597.<\/li>\n\n\n\n<li>F. Chazel, D. Lannes, F. Marche <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/clm.pdf\">Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model<\/a>,<\/em> J. Sci. Comput. <strong>48 <\/strong> (2011), 105-116. <\/li>\n\n\n\n<li>C. Bardos, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bardoslannes.pdf\">Mathematics for 2d interfaces<\/a>,<\/em> Singularities in Mechanics: Formation, Propagation and Microscopic Description, Panoramas et synth\u00e8ses <strong>38<\/strong> (2012), xxxiv + 162 pages <\/li>\n\n\n\n<li>P. Guyenne, D. Lannes, J.-C. Saut <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/gls.pdf\">Well-posedness of the Cauchy problem for models of large amplitude internal waves<\/a>,<\/em>  Nonlinearity  <strong> 23<\/strong>  (2010), 237-275. <\/li>\n\n\n\n<li>M. Colin, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/cl_sp.pdf\">Short pulses approximations in dispersive media<\/a>,<\/em>   SIAM J. Math. Anal.<strong> 41<\/strong>  (2009), 708-732. <\/li>\n\n\n\n<li>P. Bonneton, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bl.pdf\">Derivation of asymptotic two-dimensional time-dependent equations or surface water wave propagation<\/a> ,<\/em> Physics of Fluids <strong>21<\/strong> (2009), 016601. <\/li>\n\n\n\n<li>A. Constantin, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/ch5.pdf\">The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations<\/a> ,<\/em>  Arch. Ration. Mech. Anal.  <strong> 192<\/strong>  (2009), 165-186. <\/li>\n\n\n\n<li>J. Bona, D. Lannes, J.-C. Saut <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bls.pdf\">Asymptotic models for internal waves<\/a>,<\/em> J. Math. Pures  Appl. , <strong>89<\/strong> (2008), 538-566.<\/li>\n\n\n\n<li>B. Alvarez-Samaniego, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/al_inv.pdf\">Large time existence for 3D water-waves and asymptotics,<\/a><\/em> Invent. Math.  , <strong>171<\/strong> (2008), 485-541.<\/li>\n\n\n\n<li>B. Alvarez-Samaniego, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/al_ind.pdf\">A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations<\/a>,<\/em> Indiana Univ. Math. J., <strong>57<\/strong> (2008), 97-131.<\/li>\n\n\n\n<li>D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/3dasympt.pdf\">Justifying 3D asymptotics for water-waves<\/a>,<\/em> \u00ab\u00a0Instability in Models Connected with Fluid Flow II\u00a0\u00bb,  Int. Math. Ser. vol 7, edited by Claude Bardos and Andrey Fursikov,  \u00ab\u00a0International Mathematical Series\u00a0\u00bb , Springer (2008).<\/li>\n\n\n\n<li>D. Lannes, J.-C. Saut <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/lannessaut.pdf\">Weakly transverse Boussinesq systems and the KP approximation<\/a>,<\/em> Nonlinearity , <strong>19<\/strong> (2006), 2853-2875.<\/li>\n\n\n\n<li>D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/lannesjfa.pdf\">Sharp Estimates for pseudo-differential operators with symbolsof limited smoothness and commutators,<\/a><\/em> J. Funct. Anal. , <strong>232<\/strong> (2006), 495-539.<\/li>\n\n\n\n<li>D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/marchelannesjcp.pdf\">Well-Posedness of the Water Waves Equations<\/a>,<\/em> J. Am. Math. Soc., <strong>18<\/strong> (2005), 605-654.<\/li>\n\n\n\n<li>J. Bona, T. Colin, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/bcl.pdf\">Long Wave Approximations for Water-Waves<\/a>,<\/em> Arch. Ration. Mech. Anal., <strong>178<\/strong> (2005), 373-410. <\/li>\n\n\n\n<li>T. Colin, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/cola.pdf\">Justification of and long-wave correction to Davey-Stewartson systems from quadratic hyperbolic systems<\/a>,<\/em> Discrete and Continuous Dynamical Systems, <strong>11<\/strong> (2004), 83-100. <\/li>\n\n\n\n<li>R. Carles, D. Lannes, <em>Focusing of a pulse with arbitrary phase shift for a nonlinear wave equation,<\/em> Bulletin de la Soci\u00e9t\u00e9 Math\u00e9matique de France, <strong>131<\/strong> (2003), 289-306.<\/li>\n\n\n\n<li>D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/secular.pdf\">Secular growth estimates for hyperbolic systems<\/a>,<\/em> Journal of Differential Equations <strong>190 <\/strong>(2003), no. 2, 466-503.<\/li>\n\n\n\n<li>K. Barrailh, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/gendiff.pdf\">A general framework for diffractive optics and its applications to lasers with large spectrum and short pulses<\/a>,<\/em> SIAM, Journal on Mathematical Analysis <strong> 34 <\/strong> (2003), no. 3, 636-674.<\/li>\n\n\n\n<li>W. Ben Youssef, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/kp.pdf\">The long wave limit for a general class of 2D quasilinear hyperbolic problems<\/a><\/em> Comm. Partial Differential Equations. <strong> 27 <\/strong> (2002), 979-1020.<\/li>\n\n\n\n<li>C. Besse, D. Lannes, <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/lwshnum.pdf\">A numerical study of the long-wave short-wave resonance for 3D water waves<\/a><\/em> Eur. J. of Mech.-B\/Fluids <strong> 20 <\/strong> (2001), 627-650.<\/li>\n\n\n\n<li>T. Colin, D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/lwswresonance.pdf\">Long-wave short-wave resonance for nonlinear geometric optics<\/a>,<\/em> Duke Math. J. <strong> 107 <\/strong> (2001), no. 2, 351-419.<\/li>\n\n\n\n<li>D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/spcont.pdf\">Nonlinear geometrical optics for oscillatory wave trains with a continuous oscillatory spectrum<\/a>,<\/em> Adv. Differential Equations <strong> 6 <\/strong> (2001), no. 6, 731&#8211;768.<\/li>\n\n\n\n<li>D. Lannes, <a href=\"http:\/\/www.math.lsa.umich.edu\/%7Erauch\/\">J. Rauch<\/a><em>, <a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/logvalidity.pdf\">Validity of Nonlinear Geometric Optics with Times Growing Logarithmically,<\/a><\/em> Proc. Amer. Math. Soc. <strong>129<\/strong> (2001), 1087-1096.<\/li>\n\n\n\n<li>D. Lannes <em><a href=\"https:\/\/david-lannes.perso.math.cnrs.fr\/wp-content\/uploads\/2019\/01\/rectif.pdf\">Dispersion effects for nonlinear geometrical optics with rectification<\/a>,<\/em> Asymptotic Analysis <strong>18<\/strong> (1998) 111-146.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Submitted Published<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-67","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/pages\/67","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=67"}],"version-history":[{"count":32,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/pages\/67\/revisions"}],"predecessor-version":[{"id":542,"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=\/wp\/v2\/pages\/67\/revisions\/542"}],"wp:attachment":[{"href":"https:\/\/david-lannes.perso.math.cnrs.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=67"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}