Tuesday, 11 December 2018, 3 p.m. (sharp),

Dr. Shunsuke Kurima, Tokyo University of Science

at the conference room of IMATI-CNR in Pavia, will give a lecture titled:

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

as part of the Applied Mathematics Seminar (IMATI-CNR e Dipartimento di Matematica, Pavia).

At the end a refreshment will be organized.

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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.