Asymptotic stability of higher order norms in terms of asymptotic energy stability for viscous incompressible fluid flows heated from below

  • Yoshiyuki Kagei
  • Wolf von Wahl


We consider a steady viscous incompressible fluid flow in an infinite layer heated from below. The steady flow is assumed to be periodic with respect to the plane variables. If this flow turns out to be asymptotically energy-stable with respect to a particular disturbance then it is also asymptotically stable in higher order norms with respect to the same perturbation. No smallness of the initial values is needed.

Key words

stability in the Boussinesq-equations 


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Copyright information

© JJIAM Publishing Committee 1996

Authors and Affiliations

  • Yoshiyuki Kagei
    • 1
  • Wolf von Wahl
    • 2
  1. 1.Graduate School of MathematicsKyushu UniversityFukuokaJapan
  2. 2.Department of MathematicsUniversity of BayreuthBayreuthGermany

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