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- Dokumenttyp:
- Article
- Autor(en):
- Kovtanyuk, Andrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz
- Titel:
- 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... »
- Stichworte:
- Optimal control; Conductive-convective-radiative heat transfer; Diffusion approximation
- Zeitschriftentitel:
- J. Math. Anal. Appl.
- Jahr:
- 2014
- Band / Volume:
- 412
- Monat:
- APR 1
- Heft / Issue:
- 1
- Seitenangaben Beitrag:
- 520-528
- Sprache:
- English
- Volltext / DOI:
- doi:10.1016/j.jmaa.2013.11.003
- Verlag / Institution:
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Print-ISSN:
- 0022-247X
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