39 citations · 72 across the 7 of their papers we have counts for
3 papers · 2 filters
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…
Co-periodic stability of periodic waves in some Hamiltonian PDEs
Sylvie Benzoni-Gavage, Colin Mietka, L. Miguel Rodrigues
The stability of periodic traveling wave solutions to dispersive PDEs with respect to `arbitrary' perturbations is still widely open. The focus is put here on stability with respec…