Optimal Control of Complex Heat Transfer Equations with Cauchy Boundary Conditions.
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| Title: | Optimal Control of Complex Heat Transfer Equations with Cauchy Boundary Conditions. |
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| Authors: | Chebotarev, A. Yu.1 (AUTHOR) cheb@iam.dvo.ru |
| Source: | Computational Mathematics & Mathematical Physics. Dec2025, Vol. 65 Issue 12, p2870-2877. 8p. |
| Subjects: | Optimal control theory, Heat transfer, Equilibrium, Heat radiation & absorption, Heat equation, Surface temperature, Boundary value problems |
| Abstract: | The paper presents an analysis of an optimal control problem for a stationary diffusion model of complex heat transfer, including a -approximation of the thermal radiative transfer equation. A formulation is considered in which the boundary temperature and its normal derivative are known, while the boundary conditions for the radiation intensity are not specified. The solvability of the control problem is established, and necessary optimality conditions are obtained. A sufficient condition for the uniqueness of a solution of an optimal control problem is presented. [ABSTRACT FROM AUTHOR] |
| Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 191133313 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Optimal Control of Complex Heat Transfer Equations with Cauchy Boundary Conditions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Chebotarev%2C+A%2E+Yu%2E%22">Chebotarev, A. Yu.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> cheb@iam.dvo.ru</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mathematics+%26+Mathematical+Physics%22">Computational Mathematics & Mathematical Physics</searchLink>. Dec2025, Vol. 65 Issue 12, p2870-2877. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Optimal+control+theory%22">Optimal control theory</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+transfer%22">Heat transfer</searchLink><br /><searchLink fieldCode="DE" term="%22Equilibrium%22">Equilibrium</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+radiation+%26+absorption%22">Heat radiation & absorption</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+equation%22">Heat equation</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+temperature%22">Surface temperature</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The paper presents an analysis of an optimal control problem for a stationary diffusion model of complex heat transfer, including a -approximation of the thermal radiative transfer equation. A formulation is considered in which the boundary temperature and its normal derivative are known, while the boundary conditions for the radiation intensity are not specified. The solvability of the control problem is established, and necessary optimality conditions are obtained. A sufficient condition for the uniqueness of a solution of an optimal control problem is presented. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computational Mathematics & Mathematical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=191133313 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0965542525701581 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 2870 Subjects: – SubjectFull: Optimal control theory Type: general – SubjectFull: Heat transfer Type: general – SubjectFull: Equilibrium Type: general – SubjectFull: Heat radiation & absorption Type: general – SubjectFull: Heat equation Type: general – SubjectFull: Surface temperature Type: general – SubjectFull: Boundary value problems Type: general Titles: – TitleFull: Optimal Control of Complex Heat Transfer Equations with Cauchy Boundary Conditions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Chebotarev, A. Yu. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 09655425 Numbering: – Type: volume Value: 65 – Type: issue Value: 12 Titles: – TitleFull: Computational Mathematics & Mathematical Physics Type: main |
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