Analysis of a mathematical model describing necrotic tumor growth
Analysis of PDEs
2015-03-17 v1
Abstract
In this paper we study a model describing the growth of necrotic tumors in different regimes of vascularisation. The tumor consists of a necrotic core of death cells and a surrounding nonnecrotic shell. The corresponding mathematical formulation is a moving boundary problem where both boundaries delimiting the nonnecrotic shell are allowed to evolve in time.We determine all radially symmetric stationary solutions of the problem and reduce the moving boundary problem into a nonlinear evolution. Parabolic theory provides us the perfect context in order to show local well-posed of the problem for small initial data.
Keywords
Cite
@article{arxiv.1005.2506,
title = {Analysis of a mathematical model describing necrotic tumor growth},
author = {Joachim Escher and Anca-Voichita Matioc and Bogdan-Vasile Matioc},
journal= {arXiv preprint arXiv:1005.2506},
year = {2015}
}
Comments
14 pages, 2 figures