Existence and upper semicontinuity of attractors for a class of non-Newtonian micropolar fluids

Autor:	G. M. Araújo, F. D. M. Bezerra, M. M. Freitas, M. A. F. Araújo
Rok vydání:	2021
Předmět:	Physics::Fluid Dynamics Physics Pure mathematics Partial differential equation Flow (mathematics) Numerical analysis Phase space Bounded function Attractor Fractal dimension Non-Newtonian fluid
Zdroj:	Partial Differential Equations and Applications. 2
ISSN:	2662-2971 2662-2963
DOI:	10.1007/s42985-021-00117-4
Popis:	In this paper we study the long time behavior of the two-dimensional flow for a class of non-Newtonian micropolar fluids in bounded smooth domains, in the sense of compact global attractors. The energy equation approach is used to prove the existence and upper semicontinuity of global attractors in the natural phase space. We also show the finiteness of the fractal dimension of these attractors using the method of short trajectories developed by Malek and Ne $${\check{\mathrm{c}}}$$ as (J Differ Equ 127:498–518, 1996).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5e2cea285f262a12e172c8e189099d3e https://doi.org/10.1007/s42985-021-00117-4 Zobrazit plný text záznamu Full text from SpringerLink