Existence of Optimal Control for a Nonlinear-Viscous Fluid Model-Reference-Cited by-同舟云学术

Existence of Optimal Control for a Nonlinear-Viscous Fluid Model

Published:2016 Issue: Volume:2016 Page:1-6
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Baranovskii Evgenii S.¹^ORCID,Artemov Mikhail A.¹^ORCID

Affiliation:

1. Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Universitetskaya Ploshchad 1, Voronezh 394006, Russia

Abstract

We consider the optimal control problem for a mathematical model describing steady flows of a nonlinear-viscous incompressible fluid in a bounded three-dimensional (or a two-dimensional) domain with impermeable solid walls. The control parameter is the surface force at a given part of the flow domain boundary. For a given bounded set of admissible controls, we construct generalized (weak) solutions that minimize a given cost functional.

Funder

Russian Foundation for Basic Research

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2016/9428128.pdf

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