We provide a short proof on the infinite dimensionality of global attractors for a class of porous media equations. The proof is mainly based on the Z₂ index theory and proper use of energy functions and is completely different from the approaches in the existing literatures (M. Efendiev and S. Zelik, Finite and infinite dimensional attractors for porous media equations, Proc. London Math. Soc. 2008, 96:51–77; M. Efendiev, Infinite dimensional attractors for porous medium equations in heterogeneous medium, Math. Meth. Appl. Sci. 2012, DOI: 10.1002/mma.2619). Copyright © 2013 John Wiley & Sons, Ltd.

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Volume36, Issue18

December 2013

Pages 2588-2592

On the dimension of global attractors for porous media equations

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On the dimension of global attractors for porous media equations

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