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| Author(s): |
Meire Fortunato
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2010-04-15 |
| Examining board members: |
José Luiz Boldrini;
Helena Judith Nussenzveig Lopes;
Bianca Morelli Rodolfo Calsavara
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| Advisor: | José Luiz Boldrini |
| Abstract | |
In this dissertation we detail the analysis done in the article by X. Chen, A. Friedman, A free boundary problem for an elliptic-hyperbolic system,: an application to tumor growth, SIAM J. Math. Anal. 35, 2003, which considers a free boundary value problem for an elliptic-hyperbolic system of partial differential equations related to the Hele-Shaw problem. The present problem models the growth of a tumor and takes in consideration the following possibilities for the state of a tumor cell: proliferating, quiescent or necrotic; the model also takes in consideration the available nutrient concentration. The equations hold in a time varying domain in such way that the boundary velocity depends on the other variables of the problem. As a result of the analysis, we obtain the local in time existence, as well as uniqueness, of classical solutions for the system (AU) | |
| FAPESP's process: | 07/06070-0 - A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth |
| Grantee: | Meire Fortunato |
| Support Opportunities: | Scholarships in Brazil - Master |