Existence and Upper-Semicontinuity of Global Attractors for Binary Mixtures Solids with Fractional Damping

Autor:	M. M. Freitas, A. J. A. Ramos, Mauro L. Santos
Rok vydání:	2019
Předmět:	0209 industrial biotechnology Control and Optimization Applied Mathematics 010102 general mathematics Mathematical analysis Zero (complex analysis) Binary number 02 engineering and technology 01 natural sciences Fractal dimension Exponential function Nonlinear Sciences::Chaotic Dynamics 020901 industrial engineering & automation Attractor Exponent 0101 mathematics Mathematics
Zdroj:	Applied Mathematics & Optimization. 83:1353-1385
ISSN:	1432-0606 0095-4616
DOI:	10.1007/s00245-019-09590-1
Popis:	This paper is devoted to study the asymptotic behavior of a binary mixture problem of solids with fractional damping and sources terms. We prove the existence of global attractors with finite fractal dimension and the existence of exponential attractors. Moreover, we prove the upper-semicontinuity of global attractors as the fractional exponent tend to zero.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d3b3316004b181fa2861db1883289098 https://doi.org/10.1007/s00245-019-09590-1 Zobrazit plný text záznamu Full text from SpringerLink