Lidia Palese†
Abstract: In this paper we study the nonlinear Lyapunov stability of the thermodi usive equilibrium for a viscous thermoelectroconducting partially ionized uid in a horizontal layer heated from below. The classical L2 norm is too weak to evaluate some stabilizing or instabilizing e ects of the electroanisotropic currents. Amore neLyapunov function is obtained by reformulating the initial perturbation evolution problem in terms of the poloidal and toroidal scalar elds. In such a way, if instability occurs as stationary convection, we obtain the coincidence of linear and nonlinear stability bounds.
MSC: 76E15, 76E30
DOI 10.56082/annalsarscimath.2022.1-2.17
†lidiarosaria.palese@uniba.it Dipartimento di Matematica, Universita di Bari, Via E. Orabona 4, 70125 Bari, Italy; Paper written with nancial support of the group Equazioni di Evoluzione: Analisi Qualitativa e Metodi Numerici , University of Bari, Italy.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 14 no 1-2, 2022
