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: |
načítá se...