{"title":"Boundary optimal control of radiative-conductive heat transfer with reflection and refraction effects","authors":"N. Park, A. Chebotarev, A. Kovtanyuk","doi":"10.1109/DD55230.2022.9961049","DOIUrl":null,"url":null,"abstract":"The problem of boundary optimal control for a system of nonlinear elliptic equations simulating radiative heat transfer with Fresnel conjugation conditions on the interfaces of discontinuity of the refractive index is studied. The solvability of the optimal control problem and the non-degeneracy of the optimality conditions are proved.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD55230.2022.9961049","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of boundary optimal control for a system of nonlinear elliptic equations simulating radiative heat transfer with Fresnel conjugation conditions on the interfaces of discontinuity of the refractive index is studied. The solvability of the optimal control problem and the non-degeneracy of the optimality conditions are proved.
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