Title: | A Hopf bifurcation in the planar Navier-Stokes equations |
Authors: | G. Arioli, H. Koch |
Abstract: | We consider the Navier-Stokes equation for an incompressible viscous fluid on a square, satisfying Navier boundary conditions and being subjected to a time-independent force. As the kinematic viscosity is varied, a branch of stationary solutions is shown to undergo a Hopf bifurcation, where a periodic cycle branches from the stationary solution. Our proof is constructive and uses computer-assisted estimates. |
Paper: | Preprint and program text |