Modelling and analysis of phase transitions
timetable:
Fri 20 Jan, 15:15 - 16:00, Sala Conferenze Centro De Giorgi
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seminar: Two scale hydrodynamic limit for a model of malignant tumor cells
speaker: Anna De Masi (Dipartimento di Ingegneria e Scienza dell'Informazione e Matematica, Universita' di L'Aquila)abstract: I will describe a result obtained together with Stephan LUCKHAUS and Errico PRESUTTI. We consider a model with two species of particles, representing malignant and normal cells. The basic motions of the malignant particles are independent random walks, scaled diffusively. The normal cells move on a slower time scale and obey an exclusion rule among themselves and with the malignant particles. The competition between the two species is ruled by a coupled birth and death process. We prove convergence in the hydrodynamic limit to a system of two reaction diffusion equations with measure valued initial data.
timetable:
Fri 20 Jan, 15:15 - 16:00, Sala Conferenze Centro De Giorgi
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