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.
Similar content being viewed by others
References
Hsieh DY. Kelvin-Helmholtz stability and two-phase flow.Acta Mathematica Scientia, 1989, 9: 189–197
Hsieh DY. On partial differential equations related to Lorenz system.J Math Phys. 1987, 28: 1589–1597
Hseih DY. Mechanism for instability of fluid flow down an inclined plane.Phys Fluid, 1990, A2: 1145–1148
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hsieh, D.Y. Elemental mechanisms of hydrodynamic instabilities. Acta Mech Sinica 10, 193–202 (1994). https://doi.org/10.1007/BF02487607
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02487607