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arXiv · 1003.1216

Bifurcation analysis for a free boundary problem modeling tumor growth

Joachim Escher·Anca-Voichita Matioc
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Abstract

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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Joachim Escher, Anca-Voichita Matioc. 2010-03-05. Bifurcation analysis for a free boundary problem modeling tumor growth. https://arxiv.org/abs/1003.1216

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