Two Stationary Radiative-Conductive Heat Transfer Problems for a System of Two-Dimensional Plates

Verfasser / Beitragende:
[A. Amosov, D. Maslov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 210/5(2015-11-01), 557-570
Format:
Artikel (online)
ID: 605523878
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024 7 0 |a 10.1007/s10958-015-2578-z  |2 doi 
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245 0 0 |a Two Stationary Radiative-Conductive Heat Transfer Problems for a System of Two-Dimensional Plates  |h [Elektronische Daten]  |c [A. Amosov, D. Maslov] 
520 3 |a We consider two nonlinear stationary radiative-conductive heat transfer problems in a system of two-dimensional heat-conducting plates of width ε $$ \varepsilon $$ separated by vacuum interlayers. We establish comparison theorems and obtain estimates for the weak solution, in particular, the two-sided estimate umin ≤ u ≤ umax and estimates of the form D x u L 2 G ε = O ε $$ {\left\Vert {D}_xu\right\Vert}_{L^2\left({G}^{\varepsilon}\right)}=O\left(\sqrt{\varepsilon}\right) $$ and D x u L 2 G ε = O ε / λ $$ {\left\Vert {D}_xu\right\Vert}_{L^2\left({G}^{\varepsilon}\right)}=O\left(\sqrt{\varepsilon /\uplambda}\right) $$ . Bibliography: 10 titles. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Amosov  |D A.  |u National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia  |4 aut 
700 1 |a Maslov  |D D.  |u National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 210/5(2015-11-01), 557-570  |x 1072-3374  |q 210:5<557  |1 2015  |2 210  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2578-z  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Amosov  |D A.  |u National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Maslov  |D D.  |u National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 210/5(2015-11-01), 557-570  |x 1072-3374  |q 210:5<557  |1 2015  |2 210  |o 10958