23 citations · 97 across the 32 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.SP2010★ 1 cited
-modified characteristic Fredholm determinants, Hill's method, and the periodic Evans function of Gardne
Kevin Zumbrun
Using the relation established by Johnson--Zumbrun between Hill's method of aproximating spectra of periodic-coefficient ordinary differential operators and a generalized periodic…