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A Cahn--Hilliard phase field system arising from tumor growth models in general domains
Dr. Shunsuke Kurima, Tokyo University of Science
Sala conferenze IMATI-CNR, Pavia - Martedì 11 Dicembre 2018 h.15:00
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.
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