Publication Results

Code: 35/2010
Title: Integration of dissipative PDEs: a case study
Date: Wednesday 10th November 2010
Author(s) : Arioli, G.; Koch, H.
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Abstract: We develop a computer-assisted technique to construct and analyze orbits of dissipative evolution equations. As a case study, the methods are applied to the Kuramoto-Sivashinski equation. We prove the existence of a hyperbolic periodic orbit. Keywords: Kuramoto-Sivashinski equation, hyperbolicity, periodic orbit, computer-assisted proof AMS Subject Classification: 37L05, 37L45, 35K35