Abstract
Non-Newtonian fluids exhibit diverse and very interesting behaviors. In this talk, we will focus on power-like stress tensors, mainly addressing p-Laplacian-type scalar equations. What distinguishes singular and degenerate equations from the point of view of the properties enjoyed by their solutions? We will address this classic question and discuss the state of the art in the context of a more general non-Newtonian operator that interests only each coordinate direction with preferred diffusion and, for this reason, inherited the epithet anisotropic.
Brief Biography
Simone Ciani, born in Florence in 1991, concluded his PhD at the University of Florence under the supervision of Vincenzo Vespri. He is currently an RTD-A researcher at the University of Bologna, after a postdoc at the University of Darmstadt (Germany). Simone works on regularity and existence for PDEs, semigroups and calculus of variations.