Higher-order asymptotic attraction of pullback attractors for a reaction–diffusion equation in non-cylindrical domains

2015 ◽  
Vol 113 ◽  
pp. 309-322 ◽  
Author(s):  
Yanping Xiao ◽  
Chunyou Sun
Keyword(s):  
Diffusion Equation ◽  
Reaction Diffusion ◽  
Higher Order ◽  
Reaction Diffusion Equation ◽  
Pullback Attractors ◽  
Cylindrical Domains

scholarly journals Solution of Higher Order Nonlinear Time-Fractional Reaction Diffusion Equation

Entropy ◽  
2016 ◽  
Vol 18 (9) ◽  
pp. 329 ◽  
Author(s):  
Neeraj Tripathi ◽  
Subir Das ◽  
Seng Ong ◽  
Hossein Jafari ◽  
Maysaa Al Qurashi
Keyword(s):  
Diffusion Equation ◽  
Reaction Diffusion ◽  
Higher Order ◽  
Reaction Diffusion Equation ◽  
Fractional Reaction

Pullback Attractors for a Reaction–Diffusion Equation in a General Nonempty Open Subset of ℝN with Nonautonomous Forcing Term in H−1

2015 ◽  
Vol 25 (12) ◽  
pp. 1550164
Author(s):  
María Anguiano
Keyword(s):  
Diffusion Equation ◽  
Growth Condition ◽  
Open Subset ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Nonempty Open Subset ◽  
Pullback Attractors ◽  
Main Concept ◽  
Asymptotic Compactness ◽  
Bounded Sets

The existence of minimal pullback attractors in [Formula: see text] for a nonautonomous reaction–diffusion equation, in the frameworks of universes of fixed bounded sets and that given by a tempered growth condition, is proved in this paper, when the domain [Formula: see text] is a general nonempty open subset of [Formula: see text], and [Formula: see text]. The main concept used in the proof is the asymptotic compactness of the process generated by the problem. The relation among these families is also discussed.

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