Stability of Two-Phase Flow Models
A general class of incompressible two-phase flow models containing only algebraic and first-order differential terms is considered. It is shown that the stability of this class of models is independent of the wavenumber of the perturbations. Therefore hyperbolicity is a necessary, although not sufficient, condition for stability. A number of two-phase models available in the literature are examined in the light of the general results. It is found that most of them fail to be stable even in the parameter ranges where they are hyperbolic. Some comments on models with higher-order derivatives are also given.
Key Wordstwo-phase flow stability hyperbolicity
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