| Title:
|
On a phase-field model with a logarithmic nonlinearity (English) |
| Author:
|
Miranville, Alain |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
215-229 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our aim in this paper is to study the existence of solutions to a phase-field system based on the Maxwell-Cattaneo heat conduction law, with a logarithmic nonlinearity. In particular, we prove, in one and two space dimensions, the existence of a solution which is separated from the singularities of the nonlinear term. (English) |
| Keyword:
|
phase field system |
| Keyword:
|
Maxwell-Cattaneo law |
| Keyword:
|
well-posedness |
| Keyword:
|
logarithmic potential |
| MSC:
|
35A01 |
| MSC:
|
35J60 |
| MSC:
|
35K55 |
| MSC:
|
35K91 |
| MSC:
|
35L10 |
| MSC:
|
35M33 |
| MSC:
|
80A22 |
| idZBL:
|
Zbl 1265.35139 |
| idMR:
|
MR2984601 |
| DOI:
|
10.1007/s10492-012-0014-y |
| . |
| Date available:
|
2012-06-08T09:58:54Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142851 |
| . |
| Reference:
|
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