On the large time decay of global solutions for the micropolar dynamics in L^sup 2^(R^sup n^)

In this paper, the large time decay of the micropolar fluid equations on Rn (n=2,3) is studied. We show that ‖(u,w)(⋅,t)‖L2(Rn)→0 as t→∞ for Leray global solutions with arbitrary initial data in L2(Rn). When the vortex viscosity is present, we obtain a (faster) decay for the micro-rotational field:...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2019-02, Vol.45, p.789
Main Authors: Guterres, RH, Nunes, JR, Perusato, CF
Format: Article
Language:English
Subjects:
Decay rate
Fluid mechanics
Fluids
Micropolar fluids
Microstructure
Nonlinear equations
Radon
Online Access:Get full text
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Summary:In this paper, the large time decay of the micropolar fluid equations on Rn (n=2,3) is studied. We show that ‖(u,w)(⋅,t)‖L2(Rn)→0 as t→∞ for Leray global solutions with arbitrary initial data in L2(Rn). When the vortex viscosity is present, we obtain a (faster) decay for the micro-rotational field: ‖w(⋅,t)‖L2(Rn)=o(t−1∕2). Some related results are also included.
ISSN:1468-1218
1878-5719