CONTINUITY OF COST FUNCTIONAL AND OPTIMAL FEEDBACK CONTROLS FOR THE STOCHASTIC NAVIER STOKES EQUATION IN 2D

被引：0
|
作者：
Ugurlu, Kerem [1 ]
机构：
[1] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 01期
关键词：
Stochastic Navier-Stokes equations; optimal control; stochastic analysis; STATIONARY SOLUTIONS; HILBERT-SPACE; EXISTENCE;
D O I：
10.3934/cpaa.2017009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the continuity of a specific cost functional J(phi) = E sup(t is an element of vertical bar 0,T vertical bar)(phi(L[t, u(phi)(t), phi(t)])) of the SNSE in 2D on an open bounded non periodic domain O with respect to a special set of feedback controls {phi(n)}(n >= 0), where phi(x) = log(1 + x)(1 - epsilon) with 0 < epsilon < 1.
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页码：189 / 207
页数：19
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