| Title:
|
Diffuse-interface treatment of the anisotropic mean-curvature flow (English) |
| Author:
|
Beneš, Michal |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
48 |
| Issue:
|
6 |
| Year:
|
2003 |
| Pages:
|
437-453 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the motion by mean curvature in relative geometry by means of the modified Allen-Cahn equation, where the anisotropy is incorporated. We obtain the existence result for the solution as well as a result concerning the asymptotical behaviour with respect to the thickness parameter. By means of a numerical scheme, we can approximate the original law, as shown in several computational examples. (English) |
| Keyword:
|
mean-curvature flow |
| Keyword:
|
phase-field method |
| Keyword:
|
FDM |
| Keyword:
|
Finsler geometry |
| MSC:
|
35A40 |
| MSC:
|
53C44 |
| MSC:
|
80A22 |
| MSC:
|
82C26 |
| idZBL:
|
Zbl 1099.53044 |
| idMR:
|
MR2025297 |
| DOI:
|
10.1023/B:APOM.0000024485.24886.b9 |
| . |
| Date available:
|
2009-09-22T18:15:05Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134542 |
| . |
| Reference:
|
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| . |
