| Title:
|
On a Caginalp phase-field system with a logarithmic nonlinearity (English) |
| Author:
|
Wehbe, Charbel |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
60 |
| Issue:
|
4 |
| Year:
|
2015 |
| Pages:
|
355-382 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a phase field system based on the Maxwell Cattaneo heat conduction law, with a logarithmic nonlinearity, associated with Dirichlet boundary conditions. In particular, we prove, in one and two space dimensions, the existence of a solution which is strictly separated from the singularities of the nonlinear term and that the problem possesses a finite-dimensional global attractor in terms of exponential attractors. (English) |
| Keyword:
|
Caginalp phase-field system |
| Keyword:
|
Dirichlet boundary conditions |
| Keyword:
|
well-posedness |
| Keyword:
|
long time behavior of solution |
| Keyword:
|
global attractor |
| Keyword:
|
exponential attractor |
| Keyword:
|
Maxwell-Cattaneo law |
| Keyword:
|
logarithmic potential |
| MSC:
|
35B40 |
| MSC:
|
35B41 |
| MSC:
|
35G30 |
| MSC:
|
35K51 |
| MSC:
|
35K55 |
| MSC:
|
35Q53 |
| MSC:
|
45K05 |
| MSC:
|
80A20 |
| MSC:
|
80A22 |
| MSC:
|
92D50 |
| idZBL:
|
Zbl 06486916 |
| idMR:
|
MR3396470 |
| DOI:
|
10.1007/s10492-015-0101-y |
| . |
| Date available:
|
2015-06-30T12:00:27Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144313 |
| . |
| Reference:
|
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