L. Palese†
Abstract: This paper continues a series of studies providing stability criteria for quasigeostrophic forced zonal flows in in the presence of lateral diffusion and bottom dissipation of the vertical vorticity. We study the Lyapunov stability of a stationary and longitude independent basic flow, obtaining linear and nonlinear stability criteria expressed in terms of the maximum shear of the basic flow and/or its meridional derivative, extending some previous results.
MSC: 76E15, 76E30
keywords: Stability, Energy method
DOI 10.56082/annalsarscimath.2023.1-2.73
†lidiarosaria.palese@uniba.it Dipartimento di Matematica, Universit`a di Bari, Via E. Orabona 4, 70125 Bari, Italy; Paper written with financial 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 15 no 1-2, 2023
