The unique solvability of a complex 3D heat transfer problem
From MaRDI portal
Publication:2257749
DOI10.1016/j.jmaa.2013.07.054zbMath1343.35230OpenAlexW2044899820MaRDI QIDQ2257749
Andrey E. Kovtanyuk, Karl-Heinz Hoffmann, Alexander Yu. Chebotarev, Nikolai D. Botkin
Publication date: 2 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.07.054
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (33)
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 ⋮ Solvability of \(P_{1}\) approximation of a conductive-radiative heat transfer problem ⋮ Nonstationary problem of free convection with radiative heat transfer ⋮ Continuum model of oxygen transport in brain ⋮ Nonlocal unique solvability of a steady-state problem of complex heat transfer ⋮ Unnamed Item ⋮ Multiplicative control problems for nonlinear reaction-diffusion-convection model ⋮ 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 ⋮ A nonstationary problem of complex heat transfer ⋮ The problem of complex heat transfer with Cauchy-type conditions on a part of the boundary ⋮ Binary thermal fluids computation over arbitrary surfaces with second-order accuracy and unconditional energy stability based on phase-field model ⋮ 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 ⋮ Unnamed Item ⋮ 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 ⋮ Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange ⋮ Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer ⋮ 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 ⋮ 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 ⋮ 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
- Unnamed Item
- Numerical simulations of a coupled radiative-conductive heat transfer model using a modified Monte Carlo method
- Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
- Boundary layers and domain decomposition for radiative heat transfer and diffusion equations: applications to glass manufacturing process
- A Fast Multilevel Algorithm for the Solution of Nonlinear Systems of Conductive-Radiative Heat Transfer Equations
- Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations
This page was built for publication: The unique solvability of a complex 3D heat transfer problem