TITLE:
Exponential Attractors of the Nonclassical Diffusion Equations with Lower Regular Forcing Term
AUTHORS:
Yanjun Zhang, Qiaozhen Ma
KEYWORDS:
Nonclassical Diffusion Equations; Exponential Attractor; Critical Exponent; Lower Regular Forcing Term
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.3 No.1,
March
17,
2014
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.