Two Stationary Radiative-Conductive Heat Transfer Problems for a System of Two-Dimensional Plates
Gespeichert in:
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)
Online Zugang:
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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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| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2578-z |q text/html |z Onlinezugriff via DOI | ||
| 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 | ||