Necrotic tumor growth: an analytic approach

Details Necrotic tumor growth: an analytic approach Necrotic tumor growth: an analytic approach

2011-04-13

arxiv.org/abs/1104.2445v2

Mathematics

Analysis of PDEs

14 pages, 3 figures

Scientific paper

10.1007/s10441-012-9159-z

The present paper deals with a free boundary problem modeling the growth
process of necrotic multi-layer tumors. We prove the existence of flat
stationary solutions and determine the linearization of our model at such an
equilibrium. Finally, we compute the solutions of the stationary linearized
problem and comment on bifurcation.

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