The eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations

Yoshiyuki Kagei; Wolf Von Wahl

doi:10.1016/s0020-7462(97)88306-0

The eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations

Yoshiyuki Kagei, Wolf Von Wahl

Department of Mathematical Sciences

Research output: Contribution to journal › Article

13 Citations (Scopus)

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	https://doi.org/10.1016/s0020-7462(97)88306-0
Publication status	Published - May 1997

All Science Journal Classification (ASJC) codes

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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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.",

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