64 citations · 349 across the 26 of their papers we have counts for
3 papers · 1 filter
Nonlocalized modulation of periodic reaction diffusion waves: Nonlinear stability
Mathew Johnson, Pascal Noble, L. Miguel Rodrigues +1
By a refinement of the technique used by Johnson and Zumbrun to show stability under localized perturbations, we show that spectral stability implies nonlinear modulational stabili…
Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation
Mathew Johnson, Pascal Noble, L. Miguel Rodrigues +1
In a companion paper, we established nonlinear stability with detailed diffusive rates of decay of spectrally stable periodic traveling-wave solutions of reaction diffusion systems…
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…