On the (x,t) asymptotic properties of solutions of the Navier-Stokes equations in the half-space

被引：0

作者：

Crispo F. ^{[1
]}

Maremonti P. ^{[1
]}

机构：

[1] Dipartimento di Matematica, Seconda Università degli Studi di Napoli

来源：

Journal of Mathematical Sciences | 2006年 / 136卷 / 2期

关键词：

Initial Data; Asymptotic Behavior; Classical Solution; Asymptotic Property; Space Variable;

D O I：

10.1007/s10958-006-0197-4

中图分类号：

学科分类号：

摘要：

We study the space-time asymptotic behavior of classical solutions of the initial-boundary value problem for the Navier-Stokes system in the half-space. We construct a (local in time) solution corresponding to an initial data that is only assumed to be continuous and decreasing at infinity as |x| -μ, μ ∈(1/2,n). We prove pointwise estimates in the space variable. Moreover, if μ ∈[1, n) and the initial data is suitably small, then the above solutions are global (in time), and we prove space-time pointwise estimates. Bibliography: 19 titles. © 2006 Springer Science+Business Media, Inc.

引用

页码：3735 / 3767

页数：32

共 19 条

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