Abstract
We prove that any global bounded solution of a phase field model tends to a single equilibrium state for large times though the set of equilibria may contain a nontrivial continuum of stationary states. The problem has a partial variational structure, specifically, only the elliptic part of the first equation represents an Euler-Lagrange equation while the second does not. This requires some modifications in comparison with standard methods used to attack this kind of problems.
Original language | English |
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Pages (from-to) | 277-287 |
Number of pages | 11 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 24 |
Issue number | 5 |
DOIs | |
Publication status | Published - Mar 25 2001 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Engineering