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Exponential Attractors of the Nonclassical Diffusion Equations with Lower Regular Forcing Term
School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
- 1 School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
- 2 School of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
International Journal of Modern Nonlinear Theory and Application·Volume 03 (2014)·Pages 15–22·Published 17 March 2014·DOI10.4236/ijmnta.2014.31003
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Abstract
In this article, we prove the existence of exponential attractors of the nonclassical diffusion equation with critical nonlinearity and lower regular forcing term. As an additional product, we show that the fractal dimension of the global attractors of this problem is finite.
KeywordsNonclassical Diffusion EquationsExponential AttractorCritical ExponentLower Regular Forcing Term
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