Application of the center manifold theorem for investigation of instability of the ABC flow

sala 1.21
Wednesday, 6 April, 2005 - 13:30

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)