Turnpike Property for Two-Dimensional Navier–Stokes Equations

被引：0
|
作者：
Sebastián Zamorano
机构：
[1] Universidad de Santiago de Chile,Departamento de Matemática y Ciencia de la Computación
来源：
Journal of Mathematical Fluid Mechanics | 2018年 / 20卷
关键词：
Navier–Stokes equations; Optimal control problems; Turnpike property; Asymptotic stability; Oseen equation; Primary 35Q30; Secondary 49J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study the turnpike phenomenon arising in the optimal distributed control tracking-type problem for the Navier–Stokes equations. We obtain a positive answer to this property in the case when the control is time-dependent function and also when it is independent of time. In both cases we prove an exponential turnpike property assuming that the stationary optimal state satisfies certain properties of smallness.
引用
收藏
页码：869 / 888
页数：19
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