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

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)33-49
Number of pages17
JournalJapan Journal of Industrial and Applied Mathematics
Volume13
Issue number1
DOIs
Publication statusPublished - Jan 1 1996

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Steady flow
Steady Flow
Asymptotic stability
Asymptotically Stable
Incompressible Flow
Viscous Fluid
Incompressible Fluid
Asymptotic Stability
Fluid Flow
Flow of fluids
Disturbance
Higher Order
Perturbation
Norm
Energy

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Applied Mathematics

Cite this

Asymptotic stability of higher order norms in terms of asymptotic energy stability for viscous incompressible fluid flows heated from below. / Kagei, Yoshiyuki; Von Wahl, Wolf.

In: Japan Journal of Industrial and Applied Mathematics, Vol. 13, No. 1, 01.01.1996, p. 33-49.

Research output: Contribution to journalArticle

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