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- W3213456728 abstract "We undertake a study of invariant manifolds for the nonautonomous Boissonade system in three-dimensional torus. The system, exhibiting Turing structures, is a activator-inhibitor model for describing the relation between the genuine homogeneous 2D systems and the 3D monolayers. Assuming the diffusivity of the activator be sufficiently large, we prove the existence of a finite-dimensional Lipschitz manifold. The manifold is locally forward invariant and pullback attracts exponentially only those solutions with initial values having a certain regularity. If more assumptions on the external forces are made such that the symbol space is compact, we prove that the manifold is of global type." @default.
- W3213456728 created "2021-11-22" @default.
- W3213456728 creator A5045545412 @default.
- W3213456728 date "2021-01-01" @default.
- W3213456728 modified "2023-09-24" @default.
- W3213456728 title "INVARIANT MANIFOLDS FOR THE NONAUTONOMOUS BOISSONADE SYSTEM IN THREE-DIMENSIONAL TORUS" @default.
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- W3213456728 doi "https://doi.org/10.11948/20210321" @default.
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