Hopf bifurcation for two-dimensional doubly diffusive convection

DOI10.1080/00036811.2010.483430zbMath1243.35016OpenAlexW2130041113WikidataQ58250879 ScholiaQ58250879MaRDI QIDQ3081416

Chun-Hsiung Hsia, Tian Ma, Jerry L. Bona, Shouhong Wang

Publication date: 8 March 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/238915/-1/69.pdf

zbMATH Keywords

Boussinesq equationstructural stabilityattractor bifurcationroll structurethermohaline ocean circulationquadratic expansion of the centre manifold

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Forced convection (76R05) Bifurcations in context of PDEs (35B32) Stability and instability of geophysical and astrophysical flows (76E20) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Transitions of spherical thermohaline circulation to multiple equilibria ⋮ Singular limit in Hopf bifurcation for doubly diffusive convection equations. II: Bifurcation and stability ⋮ Singular limit in Hopf bifurcation for doubly diffusive convection equations. I: Linearized analysis at criticality ⋮ On the mathematical analysis of the artificial compressibility method

Cites Work

• Geometric theory of semilinear parabolic equations
• The Hopf bifurcation theorem in infinite dimensions
• Infinite-dimensional dynamical systems in mechanics and physics.
• Bifurcation of periodic solutions of the Navier-Stokes equations
• Bifurcating time periodic solutions and their stability
• Bifurcation in Doubly-Diffusive Systems. II. Time Periodic Solutions
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• A mathematical example displaying features of turbulence

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