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

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...

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Bibliographic Details
Published inSN partial differential equations and applications Vol. 2; no. 5
Main Authors Freitas, M. M., Araújo, G. M., Bezerra, F. D. M., Araújo, M. A. F.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.10.2021
Subjects
4. Knowledge Transfer
Analysis
Mathematical and Computational Biology
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Paper
Partial Differential Equations
Theoretical
Non-Newtonian micropolar fluid
Upper semicontinuity
Fractal dimension
Secondary 35Q30
Primary 35B40
76D03
35B41
Global attractor
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Summary: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 Málek and Ne c ˇ as (J Differ Equ 127:498–518, 1996).
ISSN:2662-2963
2662-2971
DOI:10.1007/s42985-021-00117-4