| Title:
|
On a conserved Penrose-Fife type system (English) |
| Author:
|
Gilardi, Gianni |
| Author:
|
Marson, Andrea |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2005 |
| Pages:
|
465-499 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Penrose-Fife model |
| Keyword:
|
Cahn-Hilliard equation |
| Keyword:
|
heat flux law |
| MSC:
|
35B45 |
| MSC:
|
35D05 |
| MSC:
|
35G30 |
| MSC:
|
35K60 |
| MSC:
|
80A22 |
| idZBL:
|
Zbl 1099.35022 |
| idMR:
|
MR2160073 |
| DOI:
|
10.1007/s10492-005-0033-z |
| . |
| Date available:
|
2009-09-22T18:23:38Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134618 |
| . |
| Reference:
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