On the Stokes resolvent estimates for cylindrical domains
On the Stokes resolvent estimates for cylindrical domains
复制标题
DOI：
10.1007/s00028-016-0350-6
复制
发表时间：
2015-11
影响因子：
1.4
通讯作者：
K. Abe;Y. Giga;K. Schade;Takuya Suzuki
中科院分区：
文献类型：
--
作者：
K. Abe;Y. Giga;K. Schade;Takuya Suzuki
本文研究了空间中无限圆柱或更一般的具有多个无穷远出口的圆柱区域中Stokes半群的解析性，所有光滑紧支撑螺线管向量场的-闭包.这些域在前两位作者的意义上是不严格可接受的（Abe和Giga in J Evol Equ 14：1-28，2014）。然而，它表明，这些域仍然是容许的，从而产生的解析。基于爆破论证给出了一个新的证明，得到了一个型预解估计，从而使我们能够得出Stokes半群的解析角为。
This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally a cylindrical domain with several exits to infinity in the space, the-closure of all smooth compactly supported solenoidal vector fields. These domains are not strictly admissible in the sense of the first two authors (Abe and Giga in J Evol Equ 14:1–28, 2014). However, it is shown that these domains are still admissible which yields the analyticity in. A new proof based on a blow-up argument is given to derive an-type resolvent estimate which enables us to conclude that the analyticity angle of the Stokes semigroup inis.