Stationary free convection problem with radiative heat exchange

DOI10.1134/S0012266114120039zbMath1316.35241MaRDI QIDQ2345803

Andrey E. Kovtanyuk, Alexander Yu. Chebotarev

Publication date: 21 May 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

free convectionradiative heatconductive heat

Mathematics Subject Classification ID

Related Items (25)

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 ⋮ Unnamed Item ⋮ Stability of solutions of control problems for the convection-diffusion-reaction equation with a strong nonlinearity ⋮ Inverse coefficient problems for a non-linear convection-diffusion-reaction equation ⋮ 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 ⋮ An inverse problem for a quasi-static approximate model of radiative heat transfer ⋮ Boundary control problem for a nonlinear convection-diffusion-reaction equation ⋮ On the stability of solutions to control problems for a nonlinear reaction-diffusion-convection model ⋮ Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions ⋮ Inhomogeneous boundary value problem for complex heat transfer equations with Fresnel matching conditions ⋮ Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange ⋮ Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition ⋮ Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation ⋮ 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 ⋮ Analysis of boundary value and extremum problems for a nonlinear reaction-diffusion-convection equation ⋮ Unnamed Item ⋮ Boundary value and extremum problems for generalized Oberbeck-Boussinesq model ⋮ 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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