On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier-Stokes equations
On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier-Stokes equations
复制标题
纳维-斯托克斯方程自由边界问题引起的半空间斯托克斯系统的求解估计
DOI：
10.1002/mana.200710749
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Yoshihiro Shibata and Senjo Shimizu
中科院分区：
文献类型：
--
作者：
Robert Denk;Reinhard Racke and Yoshihiro Shibata;Yoshihiro Shibata and Senjo Shimizu
本文考虑半空间中具有某种边界条件的Stokes算子的预解问题，该问题是作为粘性不可压缩流体流动的演化自由边界问题中的模型问题而获得的。我们在Lq（1 <q< ∞）框架下给出了标准预解式估计，并将一些核估计应用于具体的求解公式. [21]中的Volevich技巧在估计解中起着重要作用（© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
In this paper we consider a resolvent problem of the Stokes operator with some boundary condition in the half space, which is obtained as a model problem arising in evolution free boundary problems for viscous, incompressible fluid flow. We show standard resolvent estimates in theLqframework (1 <q< ∞), applying some kernel estimates to concrete solution formulas. The Volevich trick in [21] plays a fundamental role in estimating solutions (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)