|Title:||Integration of dissipative PDEs: a case study|
|Date:||Wednesday 10th November 2010|
|Author(s) :||Arioli, G.; Koch, H.|
|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|