Qualitative properties of solutions to vorticity equation for a viscous incompressible fluid on a rotating sphere

DOI10.1007/s00033-020-01386-6zbMath1464.76031OpenAlexW3082313673MaRDI QIDQ2023293

Yuri N. Skiba

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01386-6

zbMATH Keywords

asymptotic solutionglobal asymptotic stabilityglobal attractor dimension

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Viscous vortex flows (76D17)

Cites Work

• 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
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