64 citations · 312 across the 24 of their papers we have counts for
31 papers
Existence and stability of nonmonotone hydraulic shocks for the Saint Venant equations of inclined thin-film flow
Grégory Faye, L. Miguel Rodrigues, Zhao Yang +1
Extending work of Yang-Zumbrun for the hydrodynamically stable case of Froude number F < 2, we categorize completely the existence and convective stability of hydraulic shock profi…
Linear asymptotic stability of small-amplitude periodic waves of the generalized Korteweg--de Vries equations
Corentin Audiard, L. Miguel Rodrigues, Changzhen Sun
In this note, we extend the detailed study of the linearized dynamics obtained for cnoidal waves of the Korteweg--de Vries equation in \cite{JFA-R} to small-amplitude periodic trav…
Asymptotically preserving particle methods for strongly magnetizedplasmas in a torus
Francis Filbet, Luis Miguel Miguel Rodrigues
We propose and analyze a class of particle methods for the Vlasov equation with a strong external magnetic field in a torus configuration. In this regime, the time step can be subj…
Exponential asymptotic stability of Riemann shocks of hyperbolic systems of balance laws
Grégory Faye, L. Miguel Rodrigues
For strictly entropic Riemann shock solutions of strictly hyperbolic systems of balance laws, we prove that exponential spectral stability implies large-time asymptotic orbital sta…
Uniform asymptotic stability for convection-reaction-diffusion equations in the inviscid limit towards Riemann shocks
Paul Blochas, L. Miguel Rodrigues
The present contribution proves the asymptotic orbital stability of viscous regularizations of stable Riemann shocks of scalar balance laws, uniformly with respect to the viscosity…
Stability and instability in scalar balance laws: fronts and periodic waves
Vincent Duchêne, Luis Miguel Rodrigues
We complete a full classification of non-degenerate traveling waves of scalar balance laws from the point of view of spectral and nonlinear stability/instability under (piecewise)…