The thermistor problem with Robin boundary condition
Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 175-193
Cet article a éte moissonné depuis la source Numdam
We study the thermistor problem with Robin boundary condition for the temperature. A theorem of existence is proved using the compensated compactness method. For the one-dimensional case a result of non-existence and non-uniqueness is also given.
Classification :
35
Mots-clés : Thermistor problem, Robin boundary condition, existence, uniqueness of solutions
Mots-clés : Thermistor problem, Robin boundary condition, existence, uniqueness of solutions
Affiliations des auteurs :
Cimatti, Giovanni 1
@article{RSMUP_2016__135__175_0,
author = {Cimatti, Giovanni},
title = {The thermistor problem with {Robin} boundary condition},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {175--193},
year = {2016},
publisher = {European Mathematical Society Publishing House},
address = {Zuerich, Switzerland},
volume = {135},
doi = {10.4171/RSMUP/135-10},
url = {http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/135-10/}
}
TY - JOUR AU - Cimatti, Giovanni TI - The thermistor problem with Robin boundary condition JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2016 SP - 175 EP - 193 VL - 135 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/135-10/ DO - 10.4171/RSMUP/135-10 ID - RSMUP_2016__135__175_0 ER -
%0 Journal Article %A Cimatti, Giovanni %T The thermistor problem with Robin boundary condition %J Rendiconti del Seminario Matematico della Università di Padova %D 2016 %P 175-193 %V 135 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/135-10/ %R 10.4171/RSMUP/135-10 %F RSMUP_2016__135__175_0
Cimatti, Giovanni. The thermistor problem with Robin boundary condition. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 175-193. doi: 10.4171/RSMUP/135-10
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