An explicit example of Hopf bifurcation in fluid mechanics

DOI10.1098/rspa.1983.0133zbMath0588.76070OpenAlexW2131790561MaRDI QIDQ3716598

Peter E. Kloeden, Robert Wells

Publication date: 1983

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1983.0133

zbMATH Keywords

linearizationHopf bifurcationfree boundary conditionsrotating Bénard problemNormal modeshorizontally priodic solutionsinvariant subspace of the phase spacestable time-periodic statetransitions from a stable steady state

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Navier-Stokes equations (35Q30) Bifurcations in context of PDEs (35B32) Diffusion and convection (76R99)

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