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.

引用

页码：189 / 207

页数：19

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