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 |
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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