Abstract
This paper is concerned with the stability problem of the convection roll solutions of the Oberbeck-Boussinesq equations. We consider the stability of the roll solutions with respect to the two-dimensional disturbances. The Eckhaus criterion for the stability and instability of the roll solutions is derived in a mathematically rigorous way.
| Original language | English |
|---|---|
| Pages (from-to) | 563-620 |
| Number of pages | 58 |
| Journal | International Journal of Non-Linear Mechanics |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - May 1997 |
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics