English

Necrotic tumor growth: an analytic approach

Analysis of PDEs 2012-09-18 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1104.2445,
  title  = {Necrotic tumor growth: an analytic approach},
  author = {Martin Kohlmann},
  journal= {arXiv preprint arXiv:1104.2445},
  year   = {2012}
}

Comments

14 pages, 3 figures

R2 v1 2026-06-21T17:53:25.405Z