18 citations · 18 across the 1 of their papers we have counts for
4 papers
Modulated equations of Hamiltonian PDEs and dispersive shocks
Sylvie Benzoni-Gavage, Colin Mietka, L. Miguel Rodrigues
Motivated by the ongoing study of dispersive shock waves in non integrable systems, we propose and analyze a set of wave parameters for periodic waves of a large class of Hamiltoni…
Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude
Sylvie Benzoni-Gavage, Colin Mietka, Luis M. Rodrigues
Stability criteria have been derived and investigated in the last decades for many kinds of periodic traveling wave solutions to Hamiltonian PDEs. They turned out to depend in a cr…
Amplitude equations for weakly nonlinear surface waves in variational problems
Sylvie Benzoni-Gavage, Jean-François Coulombel
Among hyperbolic Initial Boundary Value Problems (IBVP), those coming from a variational principle 'generically' admit linear surface waves, as was shown by Serre [J. Funct. Anal.…
The amplitude equation for weakly nonlinear reversible phase boundaries
Jean-François Coulombel, Sylvie Benzoni-Gavage
This technical note is a complement to an earlier paper [Benzoni-Gavage \& Rosini, Comput. Math. Appl. 2009], which aims at a deeper understanding of a basic model for propagating…