We provide a concise summary of our recent findings on measure-valued solutions to the spatially homogeneous Landau equation for hard potentials [6]. Specifically, we prove the existence of axisymmetric measure-valued solutions for any axisymmetric initial data in \(\mathcal {P}_p(\mathbb {R}^3)\) ( \(p \ge 2\) ). Furthermore, we prove that these solutions become instantaneously analytic for \(t > 0\) , except when the initial data is a single Dirac mass. For soft potentials and Maxwellian molecules, we show that solutions cannot remain confined to a fixed line, even when starting from line-concentrated initial data.