Lidia Palese
Abstract:
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.
Show me the PDF file (234 KB), TEX file, and other files for this article.
Lidia Palese Department of Mathematics University of Bari Via E. Orabona, 4 70125 Bari, Italy email: lidiarosaria.palese@uniba.it |
Return to the EJDE web page