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

Yoshiyuki Kagei, Wolf Von Wahl

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 languageEnglish
Pages (from-to)563-620
Number of pages58
JournalInternational Journal of Non-Linear Mechanics
Volume32
Issue number3
Publication statusPublished - Jan 1 1997

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Boussinesq Equations
Convection
Disturbance

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

The eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations. / Kagei, Yoshiyuki; Von Wahl, Wolf.

In: International Journal of Non-Linear Mechanics, Vol. 32, No. 3, 01.01.1997, p. 563-620.

Research output: Contribution to journal › Article

Kagei, Y & Von Wahl, W 1997, 'The eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations', International Journal of Non-Linear Mechanics, vol. 32, no. 3, pp. 563-620.
Kagei Y, Von Wahl W. The eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations. International Journal of Non-Linear Mechanics. 1997 Jan 1;32(3):563-620.
Kagei, Yoshiyuki ; Von Wahl, Wolf. / The eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations. In: International Journal of Non-Linear Mechanics. 1997 ; Vol. 32, No. 3. pp. 563-620.
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