Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations

We establish nonlinear stability and asymptotic behavior of traveling periodic waves of viscous conservation laws under localized perturbations or nonlocalized perturbations asymptotic to constant shifts in phase, showing that long-time behavior is governed by an associated second-order formal Whith...

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Veröffentlicht in:	Inventiones mathematicae 2014-07, Vol.197 (1), p.115-213
Hauptverfasser:	Johnson, Mathew A., Noble, Pascal, Rodrigues, L. Miguel, Zumbrun, Kevin
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Asymptotic properties Conservation laws Constants Mathematical analysis Mathematics Mathematics and Statistics Modulation Nonlinearity Perturbation methods Stability
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