Non-Vanishing Profiles for the Kuramoto-Sivashinsky Equation on the Infinite Line

We study the Kuramoto-Sivashinsky equation on the infinite line with initial conditions having arbitrarily large limits $\pm Y$ at $x=\pm\infty$. We show that the solutions have the same limits for all positive times. This implies that an attractor for this equation cannot be defined in $L^\infty$....

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Bibliographische Detailangaben

Hauptverfasser:	van Baalen, Guillaume, Eckmann, Jean-Pierre
Format:	Artikel
Sprache:	eng
Schlagworte:	Physics - Chaotic Dynamics
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