Contributed Session 2:  PDEs and Applications
Global existence for a nonisothermal and conserved phase field system with inertial term
Shunsuke Kurima
Kanagawa University
Japan
  Co-Author(s):    Pierluigi Colli
  Abstract:
 

In this talk we deal with a conserved phase field system that couples the energy balance equation with a Cahn--Hilliard type system including temperature and the inertial term for the order parameter. In the case without inertial term, the system under study was introduced by Caginalp. The inertial term is motivated by the occurrence of rapid phase transformation processes in nonequilibrium dynamics. In this talk we prove global existence of solutions to a nonisothermal and conserved phase field system with inertial term via the analysis of some approximate problems with Yosida regularizations, and the use of the Cauchy--Lipschitz--Picard theorem in an abstract setting. This is a joint work with Professor Pierluigi Colli (University of Pavia).