Dynamic Transitions of Quasi-geostrophic Channel Flow

DOI10.1137/15M1008166zbMath1329.35232arXiv1502.04974OpenAlexW2963058519MaRDI QIDQ3196650

Henk A. Dijkstra, Jie Shen, Taylan Sengul, Shouhong Wang

Publication date: 30 October 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04974

zbMATH Keywords

Hopf bifurcationchannel flowspatial-temporal patternsclimate variabilityquasi-geostrophic flowdynamic transitions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Meteorology and atmospheric physics (86A10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Stability and instability of geophysical and astrophysical flows (76E20)

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Cites Work

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• Spectral Methods
• The Eigenvalues of Second-Order Spectral Differentiation Matrices
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Hopf Bifurcation in Quasi-geostrophic Channel Flow

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