caa a22 4500 605523878 CHVBK 20210128100751.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10958-015-2578-z doi (NATIONALLICENCE)springer-10.1007/s10958-015-2578-z Two Stationary Radiative-Conductive Heat Transfer Problems for a System of Two-Dimensional Plates [Elektronische Daten] [A. Amosov, D. Maslov] 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. Springer Science+Business Media New York, 2015 Amosov A. National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia aut Maslov D. National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/5(2015-11-01), 557-570 1072-3374 210:5<557 2015 210 10958 https://doi.org/10.1007/s10958-015-2578-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2578-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Amosov A. National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia aut NATIONALLICENCE 700 1- Maslov D. National Research University "Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St., 111250, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/5(2015-11-01), 557-570 1072-3374 210:5<557 2015 210 10958