Bifurcation analysis for a free boundary problem modeling tumor growth
Analysis of PDEs
2010-03-08 v1 Dynamical Systems
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.
Cite
@article{arxiv.1003.1216,
title = {Bifurcation analysis for a free boundary problem modeling tumor growth},
author = {Joachim Escher and Anca-Voichita Matioc},
journal= {arXiv preprint arXiv:1003.1216},
year = {2010}
}
Comments
11 pages, 1 figure