Name
Title | ||
|---|---|---|
Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.amc.2016.05.036 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Radiative–conductive heat transfer,Diffusion approximation,Optimal control,Necessary optimality conditions | Mathematical optimization,Nonlinear system,Optimal control,Thermal radiation,Mathematical analysis,Heat transfer,Minification,Thermal conduction,Radiative transfer,Mathematics,Heavy traffic approximation | Journal |
Volume | Issue | ISSN |
289 | C | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexander Yu. Chebotarev | 1 | 9 | 4.37 |
| Andrey Kovtanyuk | 2 | 10 | 6.79 |
| Gleb V. Grenkin | 3 | 0 | 0.34 |
| Nikolai D. Botkin | 4 | 21 | 9.26 |
| Karl Heinz Hoffmann | 5 | 41 | 11.54 |