Abstract
Localized travelling-wave trains are investigated as they arise in binary-mixture convection. For free-slip-permeable boundary conditions a complex Ginzburg-Landau equation is derived which is coupled to a mean concentration field. This takes the slow mass diffusion into account. Numerical simulations show that in equations of that form the additional concentration field can lead to a substantial reduction of the drift velocity of localized wave trains. Moreover, localized waves can be stable even if all the coefficients of the Ginzburg-Landau equation are real and even if the bifurcation to extended waves is supercritical.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 253-259 |
| Number of pages | 7 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 61 |
| Issue number | 1-4 |
| DOIs | |
| State | Published - Dec 30 1992 |
Funding
It is a pleasure to thank S. Linz, W. Zimmermann and L. Kramer for interesting discussions. This work has been supported by a grant from the NSF/AFOSR under award number DMS-9020289.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics