Joseph's criterion from [1] is extended to the case of thermodiffusive conductivity for a fluid layer subject to several competing (stabilizing and destabilizing) effects. Criterion for the uniqueness and stability of all (eight) physical parameters involved was obtained. In this way, for a more realistic mathematical model, physically relevant bounds for the domain of stability are achieved.
Extension of Joseph's criterion to the nonlinear stability of mechanical equilibria in the presence of thermodiffusive conductivity
Lidia Palese
1996-01-01
Abstract
Joseph's criterion from [1] is extended to the case of thermodiffusive conductivity for a fluid layer subject to several competing (stabilizing and destabilizing) effects. Criterion for the uniqueness and stability of all (eight) physical parameters involved was obtained. In this way, for a more realistic mathematical model, physically relevant bounds for the domain of stability are achieved.File in questo prodotto:
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