190 citations · 1.1k across the 82 of their papers we have counts for
34 papers · 1 filter
Boussinesq's equation for water waves: asymptotics in Sector I
Christophe Charlier, Jonatan Lenells
In a recent paper, we showed that the large behavior of a class of physically relevant solutions of Boussinesq's equation for water waves is described by ten main asymptoti…
The soliton resolution conjecture for the Boussinesq equation
Christophe Charlier, Jonatan Lenells
We analyze the Boussinesq equation on the line with Schwartz initial data belonging to the physically relevant class of global solutions. In a recent paper, we determined ten main…
Boussinesq's equation for water waves: the soliton resolution conjecture for Sector IV
Christophe Charlier, Jonatan Lenells
We consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the…
Direct and inverse scattering for the Boussinesq equation with solitons
Christophe Charlier, Jonatan Lenells
In a recent paper, we developed an inverse scattering approach to the Boussinesq equation in the case when no solitons are present. In this paper, we extend this approach to includ…
Boussinesq's equation for water waves: asymptotics in sector V
Christophe Charlier, Jonatan Lenells
We consider the Boussinesq equation on the line for a broad class of Schwartz initial data for which (i) no solitons are present, (ii) the spectral functions have generic behavior…
On Boussinesq's equation for water waves
C. Charlier, J. Lenells
A century and a half ago, J. Boussinesq derived an equation for the propagation of water waves in a channel. Despite the fundamental importance of this equation for a number of phy…