Department of Computer and Mathematical Sciences
University of Houston - Downtown
One Main St., Houston, TX 77002, USA
email: HrynkivV@uhd.edu
Volodymyr Hrynkiv
Abstract:
An optimal control of a two dimensional time dependent thermistor
problem is considered. The problem consists of two nonlinear
partial differential equations coupled with appropriate boundary
conditions which model the coupling of the thermistor to its
surroundings. Based on physical considerations, an objective
functional to be minimized is introduced and the convective
boundary coefficient is taken to be the control. Existence of
solutions to the state system and existence of the optimal control
are proven. To characterize this optimal control, the optimality
system consisting of the state and adjoint equations is derived.
Submitted December 10, 2008. Published July 10, 2009.
Math Subject Classifications: 49J20, 49K20.
Key Words: Optimal control; thermistor problem; elliptic systems.
Show me the PDF file (290 KB), TEX file, and other files for this article.
|
Volodymyr Hrynkiv Department of Computer and Mathematical Sciences University of Houston - Downtown One Main St., Houston, TX 77002, USA email: HrynkivV@uhd.edu |
|---|
Return to the EJDE web page