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math.AP2012
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…
math.AP2012★ 64 cited
Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation
Blake Barker, Mathew A. Johnson, Pascal Noble +2
In this paper we consider the spectral and nonlinear stability of periodic traveling wave solutions of a generalized Kuramoto-Sivashinsky equation. In particular, we resolve the lo…