64 citations · 312 across the 24 of their papers we have counts for
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Space-modulated Stability and Averaged Dynamics
L. Miguel Rodrigues
In this brief note we give a brief overview of the comprehensive theory, recently obtained by the author jointly with Johnson, Noble and Zumbrun, that describes the nonlinear dynam…
Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field
Francis Filbet, Luis Miguel Rodrigues
This paper deals with the numerical resolution of the Vlasov-Poissonsystem with a strong external magnetic field by Particle-In-Cell(PIC) methods. In this regime, classical PIC met…
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…
Spectral validation of the whitham equations for periodic waves of lattice dynamical systems
Bugra Kabil, Luis Miguel Rodrigues
In the present contribution we investigate some features of dynamical lattice systems near periodic traveling waves. First, following the formal averaging method of Whitham, we der…
Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow
Luis Miguel Rodrigues, Kevin Zumbrun
A technical obstruction preventing the conclusion of nonlinear stability of large-Froude number roll waves of the St. Venant equations for inclined thin film flow is the "slope con…
Stability of viscous St. Venant roll-waves: from onset to infinite-Froude number limit
Blake Barker, Mathew A. Johnson, Pascal Noble +2
We study the spectral stability of roll-wave solutions of the viscous St. Venant equations modeling inclined shallow-water flow, both at onset in the small-Froude number or "weakly…