Bifurcating periodic solutions of wind-driven circulation equations

DOI10.1016/j.jmaa.2004.09.062zbMath1063.35028OpenAlexW2025807504MaRDI QIDQ1772394

W. G. Price, Zhi Min Chen

Publication date: 18 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.062

zbMATH Keywords

Hopf bifurcationNavier-Stokes equationBessel-potential space

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Initial-boundary value problems for higher-order parabolic equations (35K35) Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32)

Related Items (2)

On the Instabilities and Transitions of the Western Boundary Current ⋮ ON THE TOPOGRAPHY-DRIVEN VORTICITY PRODUCTION IN SHALLOW LAKES

Cites Work

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• Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and climate dynamics
• Time-periodic quasigeostrophic motion under dissipation and forcing
• Dissipative quasi-geostrophic motion under temporally almost periodic forcing
• Bifurcating time periodic solutions and their stability
• The onset of auto-oscillations in a fluid
• New formulations of the primitive equations of atmosphere and applications
• On the equations of the large-scale ocean
• Hopf Bifurcation in Quasi-geostrophic Channel Flow
• A mathematical example displaying features of turbulence

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