Inverse problem with finite overdetermination for steady-state equations of radiative heat exchange

DOI10.1016/j.jmaa.2017.12.015zbMath1478.35235OpenAlexW2774426825MaRDI QIDQ681782

Gleb V. Grenkin, Karl-Heinz Hoffmann, Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Nikolai D. Botkin

Publication date: 13 February 2018

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.2017.12.015

zbMATH Keywords

inverse problemequation of radiative heat exchangenonlocal solvability

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

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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
• Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model
• 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
• IDENTIFICATION OF TEMPERATURE-DEPENDENT PARAMETERS IN LASER-INTERSTITIAL THERMO THERAPY
• 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

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