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math.AP2011★ 40 cited
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…
math.AP2011★ 43 cited
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…