The accretive operators theory is employed for proving an
existence theorem for the evolutive energy equations involving
simultaneously conduction, stationary convection (in the sense
that the velocity field is assumed to be time independent), and
radiation. In doing that we need to use new existence results for
elliptic linear problems with mixed boundary conditions and
irregular data.
Publié le : 2004-03-14
Classification:
radiative heat transfer combined with
conduction and convection,
accretive operators,
mixed boundary conditions,
irregular data,
35D05,
45K05,
80A20,
85A25
@article{1080928428,
author = {Porzio, Maria Michaela and L\'opez-Pouso, \'Oscar},
title = {Application of accretive operators theory to evolutive
combined conduction, convection and radiation},
journal = {Rev. Mat. Iberoamericana},
volume = {20},
number = {1},
year = {2004},
pages = { 257-275},
language = {en},
url = {http://dml.mathdoc.fr/item/1080928428}
}
Porzio, Maria Michaela; López-Pouso, Óscar. Application of accretive operators theory to evolutive
combined conduction, convection and radiation. Rev. Mat. Iberoamericana, Tome 20 (2004) no. 1, pp. 257-275. http://gdmltest.u-ga.fr/item/1080928428/