Geodesic
On a conserved Penrose-Fife type system
Applications of Mathematics, Tome 50 (2005) no. 5, pp. 465-499.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase dynamics is ruled by a Cahn-Hilliard type equation. Suitable assumptions on the behaviour of the heat flux as the absolute temperature tends to zero and to $+\infty $ are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well.
DOI : 10.1007/s10492-005-0033-z
Classification : 35B45, 35D05, 35G30, 35K60, 80A22
Keywords: Penrose-Fife model; Cahn-Hilliard equation; heat flux law 
@article{10_1007_s10492_005_0033_z,
     author = {Gilardi, Gianni and Marson, Andrea},
     title = {On a conserved {Penrose-Fife} type system},
     journal = {Applications of Mathematics},
     pages = {465--499},
     publisher = {mathdoc},
     volume = {50},
     number = {5},
     year = {2005},
     doi = {10.1007/s10492-005-0033-z},
     mrnumber = {2160073},
     zbl = {1099.35022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0033-z/}
}
TY  - JOUR
AU  - Gilardi, Gianni
AU  - Marson, Andrea
TI  - On a conserved Penrose-Fife type system
JO  - Applications of Mathematics
PY  - 2005
SP  - 465
EP  - 499
VL  - 50
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0033-z/
DO  - 10.1007/s10492-005-0033-z
LA  - en
ID  - 10_1007_s10492_005_0033_z
ER  - 
%0 Journal Article
%A Gilardi, Gianni
%A Marson, Andrea
%T On a conserved Penrose-Fife type system
%J Applications of Mathematics
%D 2005
%P 465-499
%V 50
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0033-z/
%R 10.1007/s10492-005-0033-z
%G en
%F 10_1007_s10492_005_0033_z
Gilardi, Gianni; Marson, Andrea. On a conserved Penrose-Fife type system. Applications of Mathematics, Tome 50 (2005) no. 5, pp. 465-499. doi : 10.1007/s10492-005-0033-z. http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0033-z/

Cité par Sources :