14 citations · 25 across the 5 of their papers we have counts for
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math.AP2010★ 14 cited
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…
math.AP2010★ 1 cited
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…
math.AP2010★ 10 cited
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…