Boundary Control Problem for Heat Convection Equations with Slip Boundary Condition
Joint Authors
Mallea-Zepeda, Exequiel
Lenes, Eber
Valero, Elvis
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We analyze an optimal boundary control problem for heat convection equations in a three-dimensional domain, with mixed boundary conditions.
We prove the existence of optimal solutions, by considering boundary controls for the velocity vector and the temperature.
The analyzed optimal control problem includes the minimization of a Lebesgue norm between the velocity and some desired field, as well as the temperature and some desired temperature.
By using the Lagrange multipliers theorem we derive an optimality system.
We also give a second-order sufficient condition.
American Psychological Association (APA)
Mallea-Zepeda, Exequiel& Lenes, Eber& Valero, Elvis. 2018. Boundary Control Problem for Heat Convection Equations with Slip Boundary Condition. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1209079
Modern Language Association (MLA)
Mallea-Zepeda, Exequiel…[et al.]. Boundary Control Problem for Heat Convection Equations with Slip Boundary Condition. Mathematical Problems in Engineering No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1209079
American Medical Association (AMA)
Mallea-Zepeda, Exequiel& Lenes, Eber& Valero, Elvis. Boundary Control Problem for Heat Convection Equations with Slip Boundary Condition. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1209079
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209079