18 citations · 18 across the 1 of their papers we have counts for
3 papers
math.AP2019★ 18 cited
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…
math.AP2017
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…
math.AP2016
On the well-posedness of a quasi-linear Korteweg-de Vries equation
Colin Mietka
The Korteweg-de Vries equation (KdV) and various generalized, most often semi- linear versions have been studied for about 50 years. Here, the focus is made on a quasi-linear gener…