[HTML][HTML] Boundary optimal control problem of complex heat transfer model

GV Grenkin, AY Chebotarev, AE Kovtanyuk… - Journal of Mathematical …, 2016 - Elsevier
A boundary optimal control problem of complex heat transfer is under consideration. The
problem is composed of a nonstationary heat transfer equation and the steady-state P 1 …

[HTML][HTML] Theoretical analysis of an optimal control problem of conductive–convective–radiative heat transfer

AE Kovtanyuk, AY Chebotarev, ND Botkin… - Journal of Mathematical …, 2014 - Elsevier
The problem of optimal heat removal from a three-dimensional domain is considered. The
specific of the study consist in accounting for the radiative heat transfer. The so-called P 1 …

Nondegeneracy of optimality conditions in control problems for a radiative–conductive heat transfer model

AY Chebotarev, AE Kovtanyuk, GV Grenkin… - Applied Mathematics …, 2016 - Elsevier
A boundary control problem for a nonlinear steady-state heat transfer model accounting for
heat radiation effects is considered. The problem consists in the minimization of a cost …

Inhomogeneous steady-state problem of complex heat transfer

AY Chebotarev, GV Grenkin… - … Modelling and Numerical …, 2017 - esaim-m2an.org
An inhomogeneous steady-state problem of radiative-conductive heat transfer in a three-
dimensional domain is studied in the framework of the P 1 approximation of the nonlinear …

[HTML][HTML] Optimal boundary control of a steady-state heat transfer model accounting for radiative effects

AE Kovtanyuk, AY Chebotarev, ND Botkin… - Journal of Mathematical …, 2016 - Elsevier
A boundary control problem for a nonlinear steady-state heat transfer model accounting for
heat radiation effects is considered. The aim of control consists in obtaining a prescribed …

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

AY Chebotarev, R Pinnau - Journal of Mathematical Analysis and …, 2019 - Elsevier
We consider an inverse problem for a system of equations modeling quasi-static conductive
and radiative heat transfer. The problem consists in finding the right-hand side of the heat …

Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions

AY Chebotarev, GV Grenkin, AE Kovtanyuk… - … in Nonlinear Science …, 2018 - Elsevier
The paper is concerned with a problem of diffraction type. The study starts with equations of
complex (radiative and conductive) heat transfer in a multicomponent domain with Fresnel …

Problem of radiation heat exchange with boundary conditions of the Cauchy type

AY Chebotarev, AE Kovtanyuk, ND Botkin - Communications in Nonlinear …, 2019 - Elsevier
In this paper, a quasi-static problem of radiative-conductive heat exchange in a three-
dimensional domain is considered in the framework of diffusion P 1 approximation of the …

On the diffusive limits of radiative heat transfer system I: Well-prepared initial and boundary conditions

M Ghattassi, X Huo, N Masmoudi - SIAM Journal on Mathematical Analysis, 2022 - SIAM
We study the diffusive limit approximation for a nonlinear radiative heat transfer system that
arises in the modeling of glass cooling and greenhouse effects and in astrophysics. The …

[HTML][HTML] Existence and uniqueness of a transient state for the coupled radiative–conductive heat transfer problem

M Ghattassi, JR Roche, D Schmitt - Computers & Mathematics with …, 2018 - Elsevier
This paper deals with existence and uniqueness results for a transient nonlinear radiative–
conductive system in three-dimensional case. This system describes the heat transfer for a …