Optimal Feedback Control for a Thermoviscoelastic Model of the Motion of Water Polymer Solutions

被引：0
|
作者：
Zvyagin V.G. [1 ]
Zvyagin A.V. [1 ]
机构：
[1] Voronezh State University, Voronezh
来源：
Siberian Advances in Mathematics | 2019年 / 29卷 / 2期
基金：
俄罗斯科学基金会; 俄罗斯基础研究基金会;
关键词：
existence theorem; non-Newtonian hydrodynamics; optimal feedback control; thermoviscoelasticity;
D O I：
10.3103/S1055134419020044
中图分类号：
学科分类号：
摘要：
We study an optimal feedback control problem for an initial boundary value problem of a thermoviscoelastic model describing the motion of weakly concentrated water polymer solutions in the presence of dependence of the viscosity on the temprature. We prove the existence of an optimal solution minimizing to a given bounded lower semicontinuous quality functional. For proving the existence of an optimal solution, we use the topological approximation method for studying problems in hydrodynamics. © 2019, Allerton Press, Inc.
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页码：137 / 152
页数：15
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