Asymptotic Behavior of Solutions of a Free Boundary Problem Modelling the Growth of Tumors with Stokes Equations
| dc.creator | Wu, Junde | |
| dc.creator | Cui, Shangbin | |
| dc.date | 2008-06-08 | |
| dc.date.accessioned | 2026-07-07T09:43:19Z | |
| dc.date.available | 2026-07-07T09:43:19Z | |
| dc.description | We study a free boundary problem modelling the growth of non-necrotic tumors with fluid-like tissues. The fluid velocity satisfies Stokes equations with a source determined by the proliferation rate of tumor cells which depends on the concentration of nutrients, subject to a boundary condition with stress tensor effected by surface tension. It is easy to prove that this problem has a unique radially symmetric stationary solution. By using a functional approach, we prove that there exists a threshold value $γ_*>0$ for the surface tension coefficient $γ$, such that in the case $γ>γ_*$ this radially symmetric stationary solution is asymptotically stable under small non-radial perturbations, whereas in the opposite case it is unstable. | |
| dc.identifier | https://arxiv.org/abs/0806.1353 | |
| dc.identifier | http://arxiv.org/abs/0806.1353 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162511 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Asymptotic Behavior of Solutions of a Free Boundary Problem Modelling the Growth of Tumors with Stokes Equations | |
| dc.type | text |