papers
Publications (19)
math.AP2014
Well-posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity
Angel Castro, David Lannes
math.AP2012
The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation
David Lannes, Felipe Linares, Jean-Claude Saut
math.AP2014
Fully nonlinear long-waves models in presence of vorticity
Angel Castro, David Lannes
math.AP2010
A stability criterion for two-fluid interfaces and applications
David Lannes
math.AP2007
A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations
Borys Alvarez-Samaniego, David Lannes
physics.flu-dyn2017
Recovering water wave elevation from pressure measurements
Philippe Bonneton, David Lannes
math.AP2017
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations
David Lannes, Guy Metivier
math.AP2003
Focusing at a point with caustic crossing for a class of nonlinear equations
Remi Carles, David Lannes
math.AP2007
Large time existence for 3D water-waves and asymptotics
Borys Alvarez-Samaniego, David Lannes
math.AP2005
Sharp estimates for pseudodifferential operators with symbols of limited smoothness and commutators
David Lannes
math.AP2011
Water waves over a rough bottom in the shallow water regime
Walter Craig, David Lannes, Catherine Sulem
math.AP2007
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
Adrian Constantin, David Lannes
physics.ao-ph2007
Derivation of asymptotic two-dimensional time-dependent equations for ocean wave propagation
David Lannes, Philippe Bonneton
math.AP2018
Hyperbolic free boundary problems and applications to wave-structure interactions
Tatsuo Iguchi, David Lannes
math.AP2014
Variants of the focusing NLS equation. Derivation, justification and open problems related to filamentation
Eric Dumas, David Lannes, Jeremie Szeftel
math.AP2010
Mathematics for 2d Interfaces
Claude Bardos, David Lannes
math.AP2007
Short Pulses Approximations in Dispersive Media
Mathieu Colin, David Lannes
math.AP2007
Asymptotic Models for Internal Waves
Jerry L. Bona, David Lannes, Jean-Claude Saut
physics.flu-dyn2015
Nonlinear Wave-Currents interactions in shallow water
David Lannes, Fabien Marche