Display Abstract

Title From fractional Cahn Hilliard to fractional Porous Medium

Name Antonio Segatti
Country Italy
Email antonio.segatti@unipv.it
Co-Author(s) Goro Akagi, Giulio Schimperna
Submit Time 2014-02-28 04:54:08
Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
In this talk I will report on a joint work with Goro Akagi (Kobe) and Giulio Schimperna (Pavia) in which we highlight some relations between a fractional Cahn Hilliard type equation and a fractional Porous Medium equation. In particular, we will start with a fractional Cahn Hilliard equation (for which we show existence and uniqueness of solutions) and we will rigorously prove that when the fractional order of differentiation tends to zero the solutions will converge to the solution of a fractional Porous Medium equation.