Liouville theorems for the Stokes equations with applications to large time estimates
Liouville theorems for the Stokes equations with applications to large time estimates
复制标题
斯托克斯方程的刘维尔定理及其在大时间估计中的应用
DOI：
10.1016/j.jfa.2019.108321
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
K. Abe
中科院分区：
文献类型：
--
作者：
K. Abe
研究了空间变量衰减条件下rn外域非平稳Stokes方程的Liouville定理。作为应用，证明了当n≥3时，角π/2的L σ∞上Stokes半群是有界解析半群。我们还证明了n= 2时净力为零的大时间估计。
We study Liouville theorems for the non-stationary Stokes equations in exterior domains in R n under decay conditions for spatial variables. As applications, we prove that the Stokes semigroup is a bounded analytic semigroup on L σ∞ of angle π/2 for n≥ 3. We also prove large time estimates for n= 2 with zero net force.