14 citations · 25 across the 5 of their papers we have counts for
5 papers
Roll-waves in bi-layer flows
Marc Boutounet, Pascal Noble, Jean-Paul Vila
In this paper, we derive consistent shallow water equations for bi-layer flows of Newtonian fluids flowing down a ramp. We carry out a complete spectral analysis of steady flows in…
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…
Whitham's equations for modulated roll-waves in shallow flows
Pascal Noble, Luis Miguel Rodrigues
This paper is concerned with the detailed behaviour of roll-waves undergoing a low-frequency perturbation. We rst derive the so-called Whitham's averaged modulation equations and r…
Whitham Averaged Equations and Modulational Stability of Periodic Traveling Waves of a Hyperbolic-Parabolic Balance Law
Blake Barker, Mathew A. Johnson, Pascal Noble +2
In this note, we report on recent findings concerning the spectral and nonlinear stability of periodic traveling wave solutions of hyperbolic-parabolic systems of balance laws, as…