Abstract
We consider a mass-conserving bistable equation with a saturating flux on an interval. This is the quasilinear analogue of the Rubinstein–Steinberg equation, suitable for description of order parameter conserving solid–solid phase transitions in the case of large spatial gradients in the order parameter. We discuss stationary
solutions and investigate the change in bifurcation diagrams as the mass constraint and the length of the interval are varied.
solutions and investigate the change in bifurcation diagrams as the mass constraint and the length of the interval are varied.
| Original language | English |
|---|---|
| Pages (from-to) | 163-180 |
| Number of pages | 18 |
| Journal | Journal of Engineering Mathematics |
| Volume | 77 |
| DOIs | |
| Publication status | Published - 2012 |
Keywords
- bifurcation
- classical and non-classical solutions
- Liapunov-Schmidt reduction
- quadilinear parabolic equation