For any Reynolds number an ABC flow is a steady state solution to the Navier-Stokes equation with the appropriate forcing. When the flow becomes unstable in a Hopf bifurcation, a complex sequence of bifurcations takes
place for the Reynolds number just above the critical value. We apply a non-standard center manifold theorem (where center eigenvalues are allowed to have non-zero real parts) to study these bifurcations.
Speaker:
Olga Zheligovsky
(International Institute of Earthquake Prediction Theory and Mathematical Geophysics)