The paper “Reaction-diffusion systems with supercritical nonlinearities revisited“, co-authored by Anna Kostianko, Chunyou Sun (Lanzhou University), and Sergey Zelik, has been published (gold open access) in Mathematische Annalen (link here). The paper gives a comprehensive study of the properties of a class of reaction diffusion equations, including global existence and uniqueness of weak and strong solutions, various types of smoothing properties, asymptotic compactness and the existence of global and exponential attractors. An image of the class of PDEs is shown below.