14 citations · 27 across the 7 of their papers we have counts for
8 papers · 1 filter
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…
Asymptotics of the three dimensional Vlasov equation in the large magnetic field limit
Francis Filbet, Luis Miguel Rodrigues
We study the asymptotic behavior of solutions to the Vlasov equation in the presence of a strong external magnetic field. In particular we provide a mathematically rigorous derivat…
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…
Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations
Mathew A. Johnson, Pascal Noble, L. Miguel Rodrigues +1
We establish nonlinear stability and asymptotic behavior of traveling periodic waves of viscous conservation laws under localized perturbations or nonlocalized perturbations asympt…
Stability of Periodic Kuramoto-Sivashinsky Waves
Blake Barker, Mathew A. Johnson, Pascal Noble +2
In this note, we announce a general result resolving the long-standing question of nonlinear modulational stability, or stability with respect to localized perturbations, of period…
Modulated wave trains in generalized Kuramoto-Sivashinksi equations
Pascal Noble, Luis Miguel Rodrigues
This paper is concerned with the stability of periodic wave trains in a generalized Kuramoto-Sivashinski (gKS) equation. This equation is useful to describe the weak instability of…