Nonautonomous dynamical systems provide a mathematical framework for temporally
changing phenomena, where the law of evolution varies in time due to seasonal …

In this paper we study the existence of global compact attractors for nonlinear parabolic
equations of the reaction-diffusion type and variational inequalities. The studied equations …

We study the dynamics of a degenerate parabolic equation with a variable, generally non-
smooth diffusion coefficient, which may vanish at some points or be unbounded. We show …

In this paper, we study the long-time behavior of solutions for the parabolic equation with
non-linear Laplacian principal part in Rn. We prove the existence of a global (L2 (Rn) …

Global Attractors for Degenerate Parabolic Equations on Unbounded Domains Page 1 Journal
of Differential Equations DE3130 journal of differential equations 129, 239 261 (1996) Global …

This paper is a continuation of our study on doubly nonlinear parabolic type equations that
was initiated by a previous paper; it is however self-contained. We propose here to …

Our motivation is a mathematical model describing the spatial propagation of an epidemic
disease through a population. In this model, the pathogen diversity is structured into two …

Exponential growth of solution of a strongly nonlinear generalized Boussinesq equation -
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We study long-time dynamics of a class of plate models with a state-dependent damping
coefficient and their quasi-static limits. We first present the problem in abstract form and then …

Finite dimensional global attractor for a class of doubly nonlinear parabolic equations Page 1
Central European Science Journals w w w c e s j o m . . c Central European Journal of …