Advertisement

Acta Mechanica Sinica

, Volume 10, Issue 3, pp 193–202 | Cite as

Elemental mechanisms of hydrodynamic instabilities

  • D. Y. Hsieh
Article

Abstract

The elemental mechanisms for many hydrodynamic instabilities can be identified as negative damping, negative diffusion or ellipticity. Identifications of some well-known hydrodynamic instabilities are made. Model equations in connection with the instability associated with ellipticity should be studied more extensively.

Key Words

hydrodynamic instabilities negative damping negative diffusion ellipticity 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Hsieh DY. Kelvin-Helmholtz stability and two-phase flow.Acta Mathematica Scientia, 1989, 9: 189–197zbMATHMathSciNetGoogle Scholar
  2. [2]
    Hsieh DY. On partial differential equations related to Lorenz system.J Math Phys. 1987, 28: 1589–1597zbMATHMathSciNetCrossRefGoogle Scholar
  3. [3]
    Hseih DY. Mechanism for instability of fluid flow down an inclined plane.Phys Fluid, 1990, A2: 1145–1148MathSciNetCrossRefGoogle Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1994

Authors and Affiliations

  • D. Y. Hsieh
    • 1
  1. 1.Department of MathematicsThe Hong Kong University of Science and TechnologyHong Kong

Personalised recommendations