Effects of rotation on stability of viscous stationary flows on a spherical surface

DOI10.1063/1.3526687zbMath1308.76298OpenAlexW2002910523MaRDI QIDQ5244850

Dmitry E. Pelinovsky, Ranis N. Ibragimov

Publication date: 30 March 2015

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3526687

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05)

Related Items

Integration by quadratures of the nonlinear Euler equations modeling atmospheric flows in a thin rotating spherical shell ⋮ Explicit invariant solutions associated with nonlinear atmospheric flows in a thin rotating spherical shell with and without west-to-east jets perturbations ⋮ Nonlinear Analysis of Perturbed Rotating Whirlpools in the Ocean and Atmosphere ⋮ Mathematical Modeling of Equatorial Atmospheric Waves Similar to Those Travelling along a Hexagon-shaped Path at the North Pole of Saturn ⋮ Asymptotic analysis of conserved densities evaluated on invariant solutions associated with large scale nonlinear zonal flows around the rotating sphere ⋮ Effects of zonal flows on correlation between energy balance and energy conservation associated with nonlinear nonviscous atmospheric dynamics in a thin rotating spherical shell ⋮ Nonlinear viscous fluid patterns in a thin rotating spherical domain and applications

Cites Work

• Incompressible viscous fluid flows in a thin spherical shell
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Regular approximations of singular Sturm-Liouville problems
• Computing large-amplitude progressive Rossby waves on a sphere
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Cyclone and anticyclone formation in a rotating stratified fluid over a sloping bottom
• Shallow Water Theory and Solution of the Problem on the Atmospheric Motion Around a Celestial Body
• A Spectral Method for the Vorticity Equation on the Surface
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• Some results on the Navier-Stokes equations in thin 3D domains

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