Asymptotic behavior of solutions to barotropic vorticity equation on a sphere

DOI10.2478/amns.2020.2.00046OpenAlexW3106410690MaRDI QIDQ2690768

Yuri N. Skiba

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.2.00046

zbMATH Keywords

global asymptotic stabilityglobal attractive setbarotropic vorticity equation on a spheredimension of global attractor

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Viscous vortex flows (76D17) Stability and instability of geophysical and astrophysical flows (76E20) Partial difference equations (39A14)

Cites Work

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• On the existence and uniqueness of solution to problems of fluid dynamics on a sphere
• On Liapunov and exponential stability of Rossby-Haurwitz waves in invariant sets of perturbations
• On the dimension of attractors for Navier-Stokes equations on two- dimensional compact manifolds