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Modéles non-linéaires et évolution des tumeurs
le 27 mars 2014
12h00
Professeure invitée de l'ENS Cachan, Konstantina Trivisa, de l'université Brown (Maryland, USA) interviendra lors d'un séminaire du CMLA sur le développement des tumeurs, en proposant un modèle inspiré des fluides multiphasiques pour rendre compte de leur évolution dans le temps.
K. Trivisa.jpg
A nonlinear model for tumor growth - Global weak in time solutions.We investigate the dynamics of a class of tumor growth models known as mixed models. The key characteristic of these type of tumor growth models is that the different populations of cells are continuously present everywhere in the tumor at all times.
The system is given by a multi-phase flow model and the tumor is described as a growing continuum $Omega$ with boundary $partial Omega$ both of which evolve in time. Global-in-time weak solutions are obtained using an approach based on penalization of the boundary behavior, diffusion and viscosity in the weak formulation.
This is joint work with D. Donatelli.
- Type :
- Séminaires - conférences
- Lieu(x) :
- Campus de Cachan
CMLA : Centre de mathématiques et de leurs applications
bât. Cournot - salle C103