An inverse problem for a quasi-static approximate model of radiative heat transfer

DOI10.1016/j.jmaa.2018.11.026zbMath1427.35348OpenAlexW2901353901MaRDI QIDQ2414753

Alexander Yu. Chebotarev, René Pinnau

Publication date: 17 May 2019

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.2018.11.026

zbMATH Keywords

asymptotic behaviorinverse problemuniquenesssolvabilityTikhonov regularizationquasi-static equations of radiative heat transfer

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Optimization problems in thermodynamics and heat transfer (80M50) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (16)

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 ⋮ Unnamed Item ⋮ Inverse problem for equations of complex heat transfer with Fresnel matching conditions ⋮ Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions ⋮ Optimal control of 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 ⋮ Inhomogeneous boundary value problem for complex heat transfer equations with Fresnel matching conditions ⋮ An inverse problem for equations of cerebral oxygen transport ⋮ Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions ⋮ Stationary problem of radiative heat transfer with Cauchy boundary conditions ⋮ Inverse problem for equations of complex heat transfer ⋮ 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

• Optimal boundary control of a steady-state heat transfer model accounting for radiative effects
• Optimal control of a simplified natural convection-radiation model
• Boundary optimal control problem of complex heat transfer model
• Efficient numerical methods for radiation in gas turbines
• Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange
• Compact sets in the space \(L^ p(0,T;B)\)
• Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Inverse problem for Navier-Stokes systems with finite-dimensional overdetermination
• Theoretical analysis of an optimal control problem of conductive-convective-radiative heat transfer
• The unique solvability of a complex 3D heat transfer problem
• Stationary free convection problem with radiative heat exchange
• Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
• Unique solvability of a steady-state complex heat transfer model
• A nonhomogeneous nonstationary complex heat tranfer problem
• Stabilization of equilibrium MHD configurations by external currents
• Determination of the right-hand side of the Navier-Stokes system of equations and inverse problems for the thermal convection equations
• Inverse problems for stationary Navier-Stokes systems
• Optimal Control of Glass Cooling Using SimplifiedP_NTheory
• IDENTIFICATION OF TEMPERATURE-DEPENDENT PARAMETERS IN LASER-INTERSTITIAL THERMO THERAPY
• Optimization with PDE Constraints
• NUMERICAL METHODS AND OPTIMAL CONTROL FOR GLASS COOLING PROCESSES
• Subdifferential inverse problems for stationary systems of Navier-Stokes type
• Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient

This page was built for publication: An inverse problem for a quasi-static approximate model of radiative heat transfer