20-88 Gianni Arioli, Hans Koch
A Hopf bifurcation in the planar Navier-Stokes equations (539K, pdf) Sep 26, 20
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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.

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