$L_q-L_r$-Estimates for Non-Stationary Stokes Equations in an Aperture Domain
$L_q-L_r$-Estimates for Non-Stationary Stokes Equations in an Aperture Domain
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$L_q-L_r$-孔径域中非平稳斯托克斯方程的估计
DOI：
10.4171/zaa/1069
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发表时间：
2002
影响因子：
1.2
通讯作者：
H. Abels
中科院分区：
文献类型：
--
作者：
H. Abels
本文讨论了Stokes方程强解在孔径域上的渐近估计。孔域是一个域，它在有界集合之外等同于两个被墙分隔的半空间，并且在有界集合内部通过墙中的一个或多个孔连接。已知相应的Stokes算子在Lq（Ω）的无散度向量场的闭子空间Jq（Ω）中生成有界解析半群.我们讨论了半群的Lq-Lr-估计，这些估计对于R、半空间和外部区域都是已知的。
This article deals with asymptotic estimates of strong solutions of Stokes equations in aperture domains. An aperture domain is a domain, which outside a bounded set is identical to two half spaces separated by a wall and connected inside the bounded set by one or more holes in the wall. It is known that the corresponding Stokes operator generates a bounded analytic semigroup in the closed subspace Jq(Ω) of divergence free vector fields of Lq(Ω) . We deal with Lq-Lr-estimates for the semigroup, which are known for R, the half space and exterior domains.