| Title:
|
Spherically symmetric solutions to a model for interface motion by interface diffusion (English) |
| Author:
|
Zhu, Peicheng |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2013 |
| Volume:
|
Proceedings. Prague, May 15-17, 2013 |
| Issue:
|
2013 |
| Year:
|
|
| Pages:
|
240-247 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering. (English) |
| Keyword:
|
quasi-static process |
| Keyword:
|
initial-boundary value problem |
| Keyword:
|
a priori estimate |
| Keyword:
|
Egorov theorem |
| Keyword:
|
spherically symmetric solution |
| MSC:
|
35B07 |
| MSC:
|
35K41 |
| MSC:
|
35K46 |
| MSC:
|
35M33 |
| MSC:
|
35Q74 |
| MSC:
|
74N15 |
| MSC:
|
80A22 |
| MSC:
|
82C24 |
| MSC:
|
82C26 |
| idZBL:
|
Zbl 1340.35114 |
| idMR:
|
MR3204448 |
| . |
| Date available:
|
2017-02-14T09:20:04Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702951 |
| . |
