Steady-state problem of complex heat transfer

DOI10.1134/S0965542514040095zbMath1313.80005OpenAlexW2052036558MaRDI QIDQ2940470

Andrey E. Kovtanyuk, Alexander Yu. Chebotarev

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514040095

zbMATH Keywords

diffusion approximationnonlocal solvabilityradiative heat transfer equation

Mathematics Subject Classification ID

Related Items (31)

Optimal boundary control of a steady-state heat transfer model accounting for radiative effects ⋮ Nonstationary problem of complex heat transfer in a system of semitransparent bodies with boundary-value conditions of diffuse reflection and refraction of radiation ⋮ 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 ⋮ Nonstationary problem of free convection with radiative heat transfer ⋮ Nonlocal unique solvability of a steady-state problem of complex heat transfer ⋮ On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions ⋮ Inverse problem for equations of complex heat transfer with Fresnel matching conditions ⋮ A nonstationary problem of complex heat transfer ⋮ Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions ⋮ The problem of complex heat transfer with Cauchy-type conditions on a part of the boundary ⋮ Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions ⋮ Problem of radiation heat exchange with boundary conditions of the Cauchy type ⋮ Inhomogeneous boundary value problem for complex heat transfer equations with Fresnel matching conditions ⋮ Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model ⋮ Boundary optimal control problem of complex heat transfer model ⋮ Control of complex heat transfer on producing extremal fields ⋮ Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition ⋮ Unique solvability of a nonstationary problem of radiative-conductive heat exchange in a system of semitransparent bodies ⋮ Existence and uniqueness of a transient state for the coupled radiative-conductive heat transfer problem ⋮ 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 ⋮ Inverse problem for equations of complex heat transfer ⋮ On the null-controllability of a radiative heat transfer system ⋮ Solvability of a Nonstationary Problem of Radiative–Conductive Heat Transfer in a System of Semi-transparent Bodies ⋮ Unique solvability of a steady-state complex heat transfer model ⋮ Boundary and extremum problems for the nonlinear reaction-diffusion-convection equation under the Dirichlet condition ⋮ 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

Cites Work

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• Global solvability of a nonlinear nonstationary problem with a nonlocal boundary condition of radiative heat transfer type
• IDENTIFICATION OF TEMPERATURE-DEPENDENT PARAMETERS IN LASER-INTERSTITIAL THERMO THERAPY
• Simplified PN Models and Natural Convection—Radiation
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