Reaction-diffusion coupled inclusions with variable exponents and large diffusion

• Autorzy: Simsen Jacson , Stefanello Simsen Mariza , Wittbold Petra

Identyfikatory

DOI

10.7494/OpMath.2021.41.4.539

• Języki publikacji: EN

Abstrakty

EN

This work concerns the study of asymptotic behavior of coupled systems of p(x)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor, we prove continuity of the solutions with respect to initial conditions and a triple of parameters and we prove upper semicontinuity of a family of global attractors for reaction-diffusion systems with spatially variable exponents when the exponents go to constants greater than 2 in the topology of [formula] and the diffusion coefficients go to infinity.

Słowa kluczowe

EN

reaction-diffusion coupled systems; variable exponents; attractors; upper semicontinuity; large diffusion

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 4
• Strony: 539--570
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Simsen Jacson

• Universidade Federal de Itajuba Instituto de Matematica e Computaęao Av. BPS n. 1303, Bairro Pinheirinho, 37 500-903, Itajuba - MG – Brazil

• https://orcid.org/0000-0002-6683-1363

autor

Stefanello Simsen Mariza

• Universidade Federal de Itajuba Instituto de Matematica e Computaęao Av. BPS n. 1303, Bairro Pinheirinho, 37 500-903, Itajuba - MG - Brazil

• https://orcid.org/0000-0002-2378-2442

autor

Wittbold Petra

• Universitat of Duisburg-Essen Fakultat fur Mathematik Thea-Leymann-Str. 9, 45 127 Essen, Germany

• https://orcid.org/0000-0001-5440-0032

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).