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2009, 2009(Special): 198-207. doi: 10.3934/proc.2009.2009.198

The existence of a global attractor for a Kuramoto-Sivashinsky type equation in 2D

Aslihan Demirkaya 1,

1. 

Department of Mathematics, University of Kansas, 1460 Jayhawk Blvd, Lawrence, KS 66045-7523, United States

Received  July 2008 Revised  April 2009 Published  September 2009

We consider a variation of the Kuramoto-Sivashinsky Equation in space dimension two. We show that under some assumptions the equation is globally well-posed and posseses a global attractor in the periodic case. The analysis is based on the Lyapunov function approach, point dissipativeness and asymptotic compactness.
Keywords: Attractors, Kuramoto- Sivashinsky Equation.
Mathematics Subject Classification: Primary: 35B41, 37L30; Secondary: 35B40.
Citation: Aslihan Demirkaya. The existence of a global attractor for a Kuramoto-Sivashinsky type equation in 2D. Conference Publications, 2009, 2009 (Special) : 198-207. doi: 10.3934/proc.2009.2009.198
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