On estimates for the Stokes flow in a space of bounded functions
On estimates for the Stokes flow in a space of bounded functions
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DOI：
10.1016/j.jde.2016.04.013
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发表时间：
2014-06
影响因子：
2.4
通讯作者：
K. Abe
中科院分区：
文献类型：
--
作者：
K. Abe
本文研究了Stokes半群的复合算子的正则化效应和有界函数空间中的Helmholtz投影。对于一类区域，包括有界区域和外部区域，我们建立了算子的新的先验估计。它们意味着在有界函数空间中Navier-Stokes方程的温和解的唯一存在性。
In this paper, we study regularizing effects of the composition operatorfor the Stokes semigroupand the Helmholtz projectionin a space of bounded functions. We establish new a priori-estimates of the operatorfor a certain class of domains including bounded and exterior domains. They imply unique existence of mild solutions of the Navier-Stokes equations in a space of bounded functions.