Special Session 89: 

A Cahn-Hilliard type system coupled with a heat equation on unbounded domains

Shunsuke Kurima
Tokyo University of Science
Japan
Co-Author(s):    
Abstract:
In this talk we deal with vanishing viscosity for a Cahn-Hilliard type system coupled with a heat equation on unbounded domains with smooth bounded boundary. Colli-Gilardi-Rocca-Sprekels (2017) studied it in the case of bounded domains by using the Aubin-Lions lemma. However, this lemma does not work directly in the case of unbounded domains. In this talk we will try to discuss vanishing viscosity for the above system in unbounded domains.