Abstract
Some models of Cahn-Hilliard-Gurtin equations with a logarithmic free energy were analyzed. The constitutive equations proposed by Gurtin was a generalization of the Cahn-Hilliard equation, which described important qualitative features of a two-phase systems, namely the transport of atoms between unit cells. It was found that most mathematical literature on the Cahn-Hilliard equation concentrated on a polynomial nonlinearity or on more general assumptions on the potential f excluding a logarithmic nonlinearity. The results show the relation between Cahn-Hilliard equation with logarithmic potentials.
| Original language | English |
|---|---|
| Pages (from-to) | 253-259 |
| Number of pages | 7 |
| Journal | Applied Mathematics Letters |
| Volume | 18 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2005 |
| Externally published | Yes |
Keywords
- Cahn-Hilliard-Gurtin models
- Logarithmic potential
ASJC Scopus subject areas
- Applied Mathematics
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