Exponential Attractor for a Class of Nonclassical Diusion Equation

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Abstract

In this paper, we consider the asymptotic behavior of solutions for a class of nonclassical diffusion equation. We show the squeezing property and the existence of exponential attractor for this equation. We also make the estimates on its fractal dimension and exponential attraction.

Keywords:

Nonclassical;diffusion equation;squeezing property;exponential attractor
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Exponential Attractor for a Class of Nonclassical Diusion Equation. (2020). Journal of Partial Differential Equations, 16(4), 289-298. https://www.global-sci.com/index.php/jpde/article/view/4005