Martedì 11 Dicembre 2018, alle ore 15 precise, presso la sala conferenze dell’IMATI-CNR di Pavia, il

Dr. Shunsuke Kurima, Tokyo University of Science

terrà un seminario dal titolo:

A Cahn--Hilliard phase field system arising from tumor growth models in general domains

nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e Dipartimento di Matematica, Pavia),

Al termine della conferenza sarà organizzato un piccolo rinfresco.


Abstract. This talk deals with the well-posedness and asymptotic analysis on a Cahn-Hilliard phase field system arising from tumor growth models on a bounded or an unbounded domain with smooth bounded boundary.
The system consists of three diffusive equations in terms of the variables representing order parameter, chemical potential and concentration; it has been recently investigated in the case of a bounded domain by exploiting the Aubin-Lions lemma for the limit procedure. However, this lemma does not work directly in the case of unbounded domains. In our approach we can discuss a vanishing viscosity process for the above system both in the case of bounded domains and in the case of an unbounded domain.