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Stability and instability of generalized Kolmogorov flows on the two-dimensional sphere

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Publication:2501610
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zbMath1099.37059MaRDI QIDQ2501610

Yanyan Li

Publication date: 15 September 2006

Published in: Advances in Differential Equations (Search for Journal in Brave)


zbMATH Keywords

Navier-Stokes equationsglobal attractorLegendre polynomialseffect of rotationstability properties


Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)


Related Items (3)

Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ Rate of the enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere ⋮ Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part




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