Hopf-Bifurcation in a Navier-Stokes flow around a rotating body with respect to the angular velocity as bifurcation parameter

• Applicant: Professor Dr. Mads Kyed
• Subject Area: Mathematics
• Term: from 2019 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 427538878

We consider the Navier-Stokes equations governing the motion of a viscous fluid around a rotating body. If the angular velocity is small, it is easy the show that the solution is a steady-state. In experiments one can observe that the flow becomes time-periodic when the angular velocity exceeds a certain point. This observation indicates the occurence of a Hopf bifurcation. We want to give a mathematical proof that a Hopf bifurcation occurs with respect to the angular velocity as bifurcation parameter.

• DFG Programme: Research Grants
• International Connection: USA
• Co-Investigator: Dr. Thomas Eiter
• Cooperation Partner: Professor Dr. Giovanni Paolo Galdi