64 citations · 349 across the 26 of their papers we have counts for
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Stability of periodic waves in Hamiltonian PDEs
Sylvie Benzoni-Gavage, Pascal Noble, Luis Miguel Rodrigues
Partial differential equations endowed with a Hamiltonian structure, like the Korteweg--de Vries equation and many other more or less classical models, are known to admit rich fami…
Stability theory for difference approximations of some dispersive shallow water equations and application to thin film flows
Pascal Noble, Jean-Paul Vila
In this paper, we study the stability of various difference approximations of the Euler-Korteweg equations. This system of evolution PDEs is a classical isentropic Euler system per…
Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids
Sylvie Benzoni-Gavage, Pascal Noble, Luis Miguel Rodrigues
Since its elaboration by Whitham, almost fifty years ago, modulation theory has been known to be closely related to the stability of periodic traveling waves. However, it is only r…