| Title:
|
Viscosity solutions to a new phase-field model for martensitic phase transformations (English) |
| Author:
|
Zhu, Peicheng |
| Language:
|
English |
| Journal:
|
Application of Mathematics 2015 |
| Volume:
|
Proceedings. Prague, November 18-21, 2015 |
| Issue:
|
2015 |
| Year:
|
|
| Pages:
|
256-263 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate a new phase-field model which describes martensitic phase transitions, driven by material forces, in solid materials, e.g., shape memory alloys. This model is a nonlinear degenerate parabolic equation of second order, its principal part is not in divergence form in multi-dimensional case. We prove the existence of viscosity solutions to an initial-boundary value problem for this model. (English) |
| Keyword:
|
phase-field model |
| Keyword:
|
martensitic phase transitions |
| Keyword:
|
viscosity solution |
| Keyword:
|
initial-boundary value problem |
| MSC:
|
35D40 |
| MSC:
|
35K65 |
| idZBL:
|
Zbl 06669936 |
| . |
| Date available:
|
2017-02-14T10:27:36Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702982 |
| . |
