Global attractor and inertial sets for a nonlocal Kuramoto-Sivashinsky equation
D. Hilhorst - Analyse Numérique et EDP, CNRS, Université de Paris Sud, F-91405 Orsay, Cedex, France (email)
Abstract: We consider a nonlinear fourth order parabolic equation with a nonlocal term which describes the time evolution of a flame front. After having established the existence of a global attractor for a corresponding boundary value problem, we prove the existence of inertial sets.
Keywords: Kuramoto-Sivashinsky Equation, Dynamical Systems, Global Attractors, Inertial Sets.
Received: November 2001; Revised: September 2003; Available Online: October 2003.
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