Continuity-sets of pullback random attractors for discrete porous media equations with colored noise

Yangrong Li, Fengling Wang and Huan Xia

Applied Mathematics and Computation, 2024, vol. 465, issue C

Abstract: For a random non-autonomous porous media lattice system driven by nonlinear colored noise, we prove the unique existence and local compactness of a pullback random attractor. We then mainly study the continuity-set (the set of all points of continuity) of the pullback random attractor on the time-sample plane with respect to the Hausdorff metric. With some calculations, we find that the continuity-set has four geometrical numerical features:

Keywords: Porous media lattice systems; Nonlinear colored noise; Pullback random attractors; Lower semi-continuity; Continuity-set (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:465:y:2024:i:c:s0096300323006033

DOI: 10.1016/j.amc.2023.128434

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