Geodesic
Existence of solutions to a phase-field model with phase-dependent heat absorption
Electronic journal of differential equations, Tome 2007 (2007)
We consider a phase-field model for a phase change process with phase-dependent heat absorption. This model describes the behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous and crystalline states. Existence and uniqueness of solutions as well as stability are established. Moreover, a maximum principle is proved for the phase-field equation.
Classification : 35K55, 80A22, 82B26, 35B65
Keywords: phase transitions, parabolic system, phase-field models 
@article{EJDE_2007__2007__a165,
     author = {Planas,  Gabriela},
     title = {Existence of solutions to a phase-field model with phase-dependent heat absorption},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1112.35331},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a165/}
}
TY  - JOUR
AU  - Planas,  Gabriela
TI  - Existence of solutions to a phase-field model with phase-dependent heat absorption
JO  - Electronic journal of differential equations
PY  - 2007
VL  - 2007
UR  - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a165/
LA  - en
ID  - EJDE_2007__2007__a165
ER  - 
%0 Journal Article
%A Planas,  Gabriela
%T Existence of solutions to a phase-field model with phase-dependent heat absorption
%J Electronic journal of differential equations
%D 2007
%V 2007
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a165/
%G en
%F EJDE_2007__2007__a165
Planas,  Gabriela. Existence of solutions to a phase-field model with phase-dependent heat absorption. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a165/