We study a tumor growth model in two space dimensions, where proliferation of the tumor cells leads to expansion of the tumor domain and migration of surrounding normal tissues into the exterior vacuum. The model features two moving interfaces separating the tumor, the normal tissue, and the exterior vacuum. We prove local-in-time existence and uniqueness of strong solutions for their evolution starting from a nearly radial initial configuration. It is assumed that the tumor has lower mobility than the normal tissue, which is in line with the well-known Saffman–Taylor condition in viscous fingering.
Inwon C. Kim; Jiajun Tong. Interface dynamics in a two-phase tumor growth model. Interfaces and free boundaries, Tome 23 (2021) no. 2, pp. 191-304. doi: 10.4171/ifb/454
@article{10_4171_ifb_454,
author = {Inwon C. Kim and Jiajun Tong},
title = {Interface dynamics in a two-phase tumor growth model},
journal = {Interfaces and free boundaries},
pages = {191--304},
year = {2021},
volume = {23},
number = {2},
doi = {10.4171/ifb/454},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/454/}
}
TY - JOUR
AU - Inwon C. Kim
AU - Jiajun Tong
TI - Interface dynamics in a two-phase tumor growth model
JO - Interfaces and free boundaries
PY - 2021
SP - 191
EP - 304
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/454/
DO - 10.4171/ifb/454
ID - 10_4171_ifb_454
ER -
%0 Journal Article
%A Inwon C. Kim
%A Jiajun Tong
%T Interface dynamics in a two-phase tumor growth model
%J Interfaces and free boundaries
%D 2021
%P 191-304
%V 23
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/454/
%R 10.4171/ifb/454
%F 10_4171_ifb_454
