For large tailored forces, the forced two-dimensional Navier-Stokes equations in the half space admit at least two distinct mild solutions starting from zero, one of which is a self-similar flow pinned to the boundary.
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Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space
For large tailored forces, the forced two-dimensional Navier-Stokes equations in the half space admit at least two distinct mild solutions starting from zero, one of which is a self-similar flow pinned to the boundary.