Inverse Problem for Quasi-Stationary Complex Heat Transfer Equations with Fresnel Matching Conditions

A nonstationary inverse problem for a nonlinear parabolic-elliptic system simulating complex heat transfer with Fresnel matching conditions on surfaces of discontinuity of the refractive index is considered. The unique solvability, nonlocal in time, of the inverse problem is proved.

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Publication Details

Journal
Computational Mathematics and Mathematical Physics
Published
2024-10-01
DOI
https://doi.org/10.1134/s0965542524701252
Citations
1
Primary Topic
Numerical methods in inverse problems
Type
article
Field-Weighted Citation Impact
0.89
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article

Inverse Problem for Quasi-Stationary Complex Heat Transfer Equations with Fresnel Matching Conditions

A. Yu. Chebotarëv
1 citations
Computational Mathematics and Mathematical Physics
Numerical methods in inverse problems
0.89
article

Inverse Problem for Quasi-Stationary Complex Heat Transfer Equations with Fresnel Matching Conditions

A. Yu. Chebotarëv
article en
1 citations

Abstract

A nonstationary inverse problem for a nonlinear parabolic-elliptic system simulating complex heat transfer with Fresnel matching conditions on surfaces of discontinuity of the refractive index is considered. The unique solvability, nonlocal in time, of the inverse problem is proved.

Computational Mathematics and Mathematical PhysicsVol. 64(10)
Institute of Applied Mathematics (RU), Institute of Chemistry, Far Eastern Branch of the Russian Academy of Sciences (RU)
Affordable and clean energy
Openalex Percentile: Top 25%
Numerical methods in inverse problems
0.89
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