Non-dissipative system as limit of a dissipative one : comparison of the asymptotic regimes

Silva, Ricardo Parreira da

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dc.contributor.author	Silva, Ricardo Parreira da	-
dc.date.accessioned	2022-07-05T14:10:58Z	-
dc.date.available	2022-07-05T14:10:58Z	-
dc.date.issued	2019	-
dc.identifier.citation	SILVA, Ricardo Parreira da. Non-dissipative system as limit of a dissipative one: comparison of the asymptotic regimes. Bulletin of the Brazilian Mathematical Society, New Series v. 51, p.125-137, 2020. DOI: https://doi.org/10.1007/s00574-019-00146-z.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/44098	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Non-dissipative system as limit of a dissipative one : comparison of the asymptotic regimes	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Sistemas dissipativos	pt_BR
dc.subject.keyword	Sistemas não dissipativos	pt_BR
dc.subject.keyword	Atratores globais	pt_BR
dc.subject.keyword	Atratores não compactos	pt_BR
dc.subject.keyword	Semicontinuidade superior	pt_BR
dc.subject.keyword	Semicontinuidade inferior	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00574-019-00146-z	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00574-019-00146-z	pt_BR
dc.description.abstract1	Let ⊂ Rn be a bounded smooth domain in Rn. Given u0 ∈ L2(), g ∈ L∞() and λ ∈ R, consider the family of problems parametrised by p 2, ⎧ ⎪⎨ ⎪⎩ ∂u ∂t − pu = λu + g, on (0,∞) × , u = 0, in (0,∞) × ∂, u(0, ·) = u0, on , where pu := div \|∇u\| p−2∇u denotes the p-laplacian operator. Our aim in this paper is to describe the asymptotic behavior of this family of problems comparing compact attractors in the dissipative case p > 2, with non-compact attractors in the non-dissipative limiting case p = 2 with respect to the Hausdorff semi-distance between then.	pt_BR
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