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.
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页码：869 / 888
页数：19
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