Existence of attractors when diffusion and reaction have polynomial growth

Ahmad, Shair
•
Le, Dung
2020
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ISSN
0049-4704
DOI
e-ISSN
2464-8728
Abstract
We study an interesting model, with reaction terms of Lotka-Volterra type, where diffusion and reaction have polynomial growth of any order. We establish existence of global attractors as well as exponential attractors. In the sequel we study the long time dynamics of an appropriate semigroup and show that it possesses a global attractor (and exponential attractors) in a certain Banach space.
Journal
Subjects
Publisher
EUT Edizioni Università di Trieste
Source
Shair Ahmad and Dung Le, "Existence of attractors when diffusion and reaction have polynomial growth" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence