Existence and Uniqueness of a Steady State Solution of a Coupled Radiative–Conductive Heat Transfer Problem for a Non-grey Anisotropically and Participating Medium

Transport Theory and Statistical Physics ◽

10.1081/tt-120018650 ◽

2003 ◽

Vol 32 (1) ◽

pp. 1-35 ◽

Author(s):

F. Asllanaj ◽

G. Jeandel ◽

J. R. Roche ◽

D. Schmitt

Keyword(s):

Heat Transfer ◽

Steady State ◽

Existence And Uniqueness ◽

Transfer Problem ◽

Steady State Solution ◽

State Solution ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Conductive Heat

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

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.03.002 ◽

2018 ◽

Vol 75 (11) ◽

pp. 3918-3928 ◽

Author(s):

Mohamed Ghattassi ◽

Jean Rodolphe Roche ◽

Didier Schmitt

Keyword(s):

Heat Transfer ◽

Existence And Uniqueness ◽

Transfer Problem ◽

Transient State ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Conductive Heat

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Error Estimate for Discrete Approximation of the Radiative-Conductive Heat Transfer Problem in a System of Absolutely Black Rods

Journal of Mathematical Sciences ◽

10.1007/s10958-020-05128-x ◽

2020 ◽

Vol 251 (6) ◽

pp. 773-786

Author(s):

A. A. Amosov ◽

N. E. Krymov

Keyword(s):

Heat Transfer ◽

Error Estimate ◽

Transfer Problem ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Discrete Approximation ◽

Conductive Heat

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Numerical analysis of a coupled radiative-conductive heat transfer problem

Numerical Mathematics and Advanced Applications ◽

10.1007/978-88-470-2089-4_50 ◽

2003 ◽

pp. 535-544

Author(s):

F. Asllanaj ◽

G. Jeandel ◽

J. R. Roche ◽

D. Schmitt

Keyword(s):

Heat Transfer ◽

Numerical Analysis ◽

Transfer Problem ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Conductive Heat

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Unique Solvability of Stationary Radiative-Conductive Heat Transfer Problem in a System of Semitransparent Bodies

Journal of Mathematical Sciences ◽

10.1007/s10958-017-3440-2 ◽

2017 ◽

Vol 224 (5) ◽

pp. 618-646 ◽

Author(s):

A. A. Amosov

Keyword(s):

Heat Transfer ◽

Unique Solvability ◽

Transfer Problem ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Conductive Heat

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Initial temperature reconstruction for nonlinear heat equation: application to a coupled radiative–conductive heat transfer problem

Inverse Problems in Science and Engineering ◽

10.1080/17415970701200591 ◽

2008 ◽

Vol 16 (1) ◽

pp. 55-67 ◽

Author(s):

S. S. Pereverzyev ◽

R. Pinnau ◽

N. Siedow

Keyword(s):

Heat Transfer ◽

Heat Equation ◽

Initial Temperature ◽

Transfer Problem ◽

Temperature Reconstruction ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Nonlinear Heat Equation ◽

Conductive Heat

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Semidiscrete and asymptotic approximations for the nonstationary radiative–conductive heat transfer problem in a periodic system of grey heat shields

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0399-2 ◽

2011 ◽

Vol 176 (3) ◽

pp. 361-408 ◽

Author(s):

A. A. Amosov

Keyword(s):

Heat Transfer ◽

Periodic System ◽

Transfer Problem ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Asymptotic Approximations ◽

Conductive Heat ◽

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Unique solvability of a stationary radiative–conductive heat transfer problem in a semitransparent body with absolutely black inclusions

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01535-5 ◽

2021 ◽

Vol 72 (3) ◽

Author(s):

Andrey Amosov

Keyword(s):

Heat Transfer ◽

Unique Solvability ◽

Transfer Problem ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Conductive Heat

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Reconstruction of effective transfer coefficients for the radiative-conductive heat transfer problem

Journal of Engineering Physics and Thermophysics ◽

10.1007/bf00861944 ◽

1993 ◽

Vol 65 (6) ◽

pp. 1216-1219

Author(s):

I. F. Zherebyat'ev ◽

G. S. Rysmendeyeva

Keyword(s):

Heat Transfer ◽

Transfer Problem ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Conductive Heat ◽

Transfer Coefficients ◽

Effective Transfer

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The Nonstationary Radiative–Conductive Heat Transfer Problem in a Periodic System of Grey Heat Shields. Semidiscrete and Asymptotic Approximations

Integral Methods in Science and Engineering ◽

10.1007/978-3-319-16727-5_2 ◽

2015 ◽

pp. 15-27

Author(s):

A. Amosov

Keyword(s):

Heat Transfer ◽

Periodic System ◽

Transfer Problem ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Asymptotic Approximations ◽

Conductive Heat ◽

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Unique solvability of a stationary radiative‐conductive heat transfer problem in a system consisting of an absolutely black body and several semitransparent bodies

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7439 ◽

2021 ◽

Author(s):

Andrey Amosov

Keyword(s):

Heat Transfer ◽

Unique Solvability ◽

Transfer Problem ◽

Conductive Heat Transfer ◽

Heat Transfer Problem ◽

Conductive Heat ◽

Absolutely Black Body

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