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Artigo Produção Nacional Revisado por pares
BIBTEX RIS

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

2018; Elsevier BV; Volume: 45; Linguagem: Inglês

10.1016/j.nonrwa.2018.08.002

ISSN

1878-5719

Autores

Robert Guterres, Juliana R. Nunes, Cilon Perusato,

Tópico(s)

Fluid Dynamics and Turbulent Flows

Resumo

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.

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