Problem of radiation heat exchange with boundary conditions of the Cauchy type

DOI10.1016/j.cnsns.2019.01.028OpenAlexW2912698594WikidataQ128488189 ScholiaQ128488189MaRDI QIDQ2206523

Andrey E. Kovtanyuk, Nikolai D. Botkin, Alexander Yu. Chebotarev

Publication date: 22 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.01.028

zbMATH Keywords

diffusion approximationnonlocal solvabilityradiative-conductive heat exchange

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19) Radiative heat transfer (80A21)

Related Items (11)

Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions ⋮ Optimal control problems for complex heat transfer equations with Fresnel matching conditions ⋮ Inverse problem for equations of complex heat transfer with Fresnel matching conditions ⋮ The problem of complex heat transfer with Cauchy-type conditions on a part of the boundary ⋮ Inhomogeneous boundary value problem for complex heat transfer equations with Fresnel matching conditions ⋮ Unique solvability of a stationary radiative-conductive heat transfer problem in a semitransparent body with absolutely black inclusions ⋮ Stationary problem of radiative heat transfer with Cauchy boundary conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimal control of the radiation heat exchange equations for multi-component media ⋮ Analysis of an optimization method for solving the problem of complex heat transfer with Cauchy boundary conditions

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