Nondegeneracy of optimality conditions in control problems for a radiative–conductive heat transfer model
作者：
Highlights：
•
摘要
A boundary control problem for a nonlinear steady-state heat transfer model accounting for heat radiation effects is considered. The problem consists in the minimization of a cost functional by controlling the reflection properties of the boundary. The solvability of the control problem is proven, an optimality system is derived, and the nondegeneracy of optimality conditions is established. The results of numerical simulations are presented.
论文关键词：Radiative–conductive heat transfer,Diffusion approximation,Optimal control,Necessary optimality conditions
论文评审过程：Received 7 November 2015, Revised 5 February 2016, Accepted 18 May 2016, Available online 2 June 2016, Version of Record 2 June 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.05.036
