Bifurcation analysis for a free boundary problem modeling tumor growth
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 reexpress 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.
 Publication:

arXiv eprints
 Pub Date:
 March 2010
 arXiv:
 arXiv:1003.1216
 Bibcode:
 2010arXiv1003.1216E
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematics  Dynamical Systems;
 35B32;
 35Q92;
 35R35
 EPrint:
 11 pages, 1 figure