- 20-88 Gianni Arioli, Hans Koch
- A Hopf bifurcation in the planar Navier-Stokes equations
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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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