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Experiments disagree on whether this really happens or is caused by slip at the walls and edge failure.","posed_since":"","precise":"In startup and steady simple shear of linear polymer solutions and melts with $Z=M/M_e$ above about 50, determine whether the steady constitutive curve $\\sigma(\\gamma_{\\mathrm{dot}})$ is non-monotonic and steady shear banding occurs, as tube models with weak convective constraint release predict, or whether reported banding (particle-tracking velocimetry, from 2006 on) is transient or caused by wall slip and edge fracture.","problem_ref":null,"references":"","settled_by":"Velocimetry in geometries free of edge fracture and wall slip, across $Z$ and $\\gamma_{\\mathrm{dot}}$, showing persistent or absent steady banding, consistent with rheometric data.","status_note":"","title":"Do well-entangled polymer fluids form steady shear 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