On the large time decay of asymmetric flows in homogeneous Sobolev spaces

被引：11

作者：

Guterres, R. H. ^{[1
]}

Melo, W. G. ^{[2
]}

Nunes, J. R. ^{[3
]}

Perusato, C. F. ^{[1
]}

机构：

[1] Univ Fed Rio Grande do Sul, Dept Matemat Pura & Aplicada, BR-91509900 Porto Alegre, RS, Brazil

[2] Univ Fed Sergipe, Dept Matemat, BR-49100000 Sao Cristovao, SE, Brazil

[3] Univ Fed Rio Grande, Inst Matemat Estat & Fis, BR-96203900 Rio Grande, RS, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 471卷 / 1-2期

关键词：

Micropolar fluid equations; Long-time behavior; Decay rates in homogeneous Sobolev spaces; MICROPOLAR FLUID SYSTEM; GLOBAL WELL-POSEDNESS; EXISTENCE THEOREM; UNIQUENESS;

D O I：

10.1016/j.jmaa.2018.10.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the large time decay of the micropolar fluid equations on (H)over dot(s)(R-n) (where n = 2,3 and s >= 0) are studied. We show, for each s >= 0, that t(s/2) parallel to(u, w)(center dot, t)parallel to(s)((H)over dot)((Rn)) -> 0 as t -> infinity for Leray global solutions with arbitrary initial data in L-2(R-n). When the vortex viscosity is present, we obtain a (faster) decay for the micro-rotational field: parallel to w(center dot, t)parallel to(s)(n)((H)over dot)((R)()) = o(t(s+1/2)). Some related results are also included. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：88 / 101

页数：14

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