A connection between symmetry breaking for Sobolev minimizers and
stationary Navier-Stokes flows past a circular obstacle
A connection between symmetry breaking for Sobolev minimizers and
stationary Navier-Stokes flows past a circular obstacle
Fluid flows around a symmetric obstacle generate vortices which may lead to symmetry breaking of the streamlines. We study this phenomenon for planar viscous flows governed by the stationary Navier-Stokes equations with constant inhomogeneous Dirichlet boundary data in a rectangular channel containing a circular obstacle. In such (symmetric) framework, symmetry …