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- Document type:
- Article
- Author(s):
- Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz
- Title:
- Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer
- Abstract:
- The problem of optimal heat removal from a three-dimensional domain is considered. The specific of the study consist in accounting for the radiative heat transfer. The so-called P-1 approximation of the radiative heat transfer equation is used, which reduces the model to a nonlinear elliptic system. A problem of optimal boundary control of this system is considered. The solvability of the control problem is proved, and necessary optimality conditions of first order are derived. Examples of non-s... »
- Keywords:
- Optimal control; Conductive-convective-radiative heat transfer; Diffusion approximation
- Journal title:
- J. Math. Anal. Appl.
- Year:
- 2014
- Journal volume:
- 412
- Month:
- APR 1
- Journal issue:
- 1
- Pages contribution:
- 520-528
- Language:
- English
- Fulltext / DOI:
- doi:10.1016/j.jmaa.2013.11.003
- Publisher:
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Print-ISSN:
- 0022-247X
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