Higher order potential in the modified convective-viscous Cahn-Hilliard equation
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916569680969728 |
|---|---|
| author | Mchedlov-Petrosyan, P. O. Davydov, L. N. Osmaev, O. A. |
| author_facet | Mchedlov-Petrosyan, P. O. Davydov, L. N. Osmaev, O. A. |
| contents | To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a polynomial of the fourth degree may not be sufficient. The modification of the form of the thermodynamic potential with a polynomial of the sixth degree and the quadratic dependence of the coefficient at the gradient term is considered. Exact solutions in the form of a moving static wave and the conditions of their existence depending on the symmetry of the potential are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher order potential in the modified convective-viscous Cahn-Hilliard equation Mchedlov-Petrosyan, P. O. Davydov, L. N. Osmaev, O. A. Materials Science To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a polynomial of the fourth degree may not be sufficient. The modification of the form of the thermodynamic potential with a polynomial of the sixth degree and the quadratic dependence of the coefficient at the gradient term is considered. Exact solutions in the form of a moving static wave and the conditions of their existence depending on the symmetry of the potential are obtained. |
| title | Higher order potential in the modified convective-viscous Cahn-Hilliard equation |
| topic | Materials Science |
| url | https://arxiv.org/abs/2412.03156 |