Electron. J. Differential Equations,
Vol. 2018 (2018), No. 23, pp. 1-14.
Pullback attractors for a class of non-Newtonian micropolar fluids
Geraldo M. de Araujo, Marcos A. F. Araujo,
Flank D. M. Bezerra, Mirelson M. Freitas
Abstract:
In this article we study the long time behavior of the two-dimensional
flow for non-Newtonian micropolar fluids in bounded smooth domains,
in the sense of pullback attractors. We prove the existence
and upper semicontinuity of the pullback attractors with respect to the
viscosity coefficient of the model.
Submitted July 21, 2017. Published January 17, 2018.
Math Subject Classifications: 35B40, 35B41, 35Q30, 76D03, 76D05.
Key Words: Non-Newtonian micropolar fluid; non-autonomous dynamical system;
pullback attractor; upper semincontinuity.
Show me the PDF file (279 KB),
TEX file for this article.
 |
Geraldo M. de Araujo
Departamento de Matemática
Universidade Federal do Pará
Rua Augusto Corrêa s/n, 66000-000, Belém PA, Brazil
email: gera@ufpa.br
|
|---|
 |
Marcos A. F. Araujo
Departamento de Matemática
Universidade Federal do Maranhão
65080-805, São Luís MA, Brazil
email: marcosttte@gmail.com
|
|---|
 |
Flank D. M. Bezerra
Departamento de Matemática
Universidade Federal da Paraíba
58051-900 João Pessoa PB, Brazil
email: flank@mat.ufpb.br
|
|---|
 |
Mirelson M. Freitas
Departamento de Matemática
Universidade Federal do Pará
Rua Augusto Corrêa s/n, 66000-000, Belém PA, Brazil
email: freitas.ufpa@outlook.com
|
|---|
Return to the EJDE web page