In this article we consider the stability of a chemical equilibrium of a thermally conducting two-component reactive viscous mixture, in a horizontal layer heated from below and experiencing a catalyzed chemical reaction at the bottom plate. After reformulating the perturbation evolution equations in a suitable equivalent form, we study the nonlinear Lyapunov stability and, assuming the validity of the principle of exchange of stabilities, we find a region of the parameter space in which the linear and nonlinear stability bounds coincide.
Submitted January 23, 2014. Published September 10, 2014.
Math Subject Classifications: 76E15, 76E30.
Key Words: Nonlinear stability; horizontal thermal convection; energy method.
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| Lidia Palese |
Department of Mathematics
University of Bari
Via E. Orabona, 4 70125 Bari, Italy
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