Bifurcation analysis for a free boundary problem modeling tumor growth

Details Bifurcation analysis for a free boundary problem modeling tumor growth Bifurcation analysis for a free boundary problem modeling tumor growth

2010-03-05

arxiv.org/abs/1003.1216v1

Mathematics

Analysis of PDEs

11 pages, 1 figure

Scientific paper

In this paper we deal with a free boundary problem modeling the growth of nonnecrotic tumors.The tumor is treated as an incompressible fluid, the tissue elasticity is neglected and no chemical inhibitor species are present. We re-express the mathematical model as an operator equation and by using a bifurcation argument we prove that there exist stationary solutions of the problem which are not radially symmetric.

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