Pullback dynamics of a non-autonomous mixture problem in one dimensional solids with nonlinear damping

Autor:	Geraldo M. Araújo, Mirelson M. Freitas, Alberto L. C. Costa
Rok vydání:	2020
Předmět:	Physics Applied Mathematics media_common.quotation_subject 010102 general mathematics Mathematical analysis Dynamics (mechanics) General Medicine Pullback attractor 01 natural sciences Universe 010101 applied mathematics Nonlinear system Pullback 0101 mathematics Analysis media_common
Zdroj:	Communications on Pure & Applied Analysis. 19:785-809
ISSN:	1553-5258
DOI:	10.3934/cpaa.2020037
Popis:	This paper is devoted to study the asymptotic behavior of a non-autonomous mixture problem in one dimensional solids with nonlinear damping. We prove the existence of minimal pullback attractors with respect to a universe of tempered sets defined by the sources terms. Moreover, we prove the upper-semicontinuity of pullback attractors with respect to non-autonomous perturbations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2e76eeeca1557d10c588f29eb5072e1c https://doi.org/10.3934/cpaa.2020037 Zobrazit plný text záznamu