On a Cahn-Hilliard type phase field system related to tumor growth
Analysis of PDEs
2014-03-24 v2
Abstract
The paper deals with a phase field system of Cahn-Hilliard type. For positive viscosity coefficients, the authors prove an existence and uniqueness result and study the long time behavior of the solution by assuming the nonlinearities to be rather general. In a more restricted setting, the limit as the viscosity coefficients tend to zero is investigated as well.
Keywords
Cite
@article{arxiv.1401.5943,
title = {On a Cahn-Hilliard type phase field system related to tumor growth},
author = {Pierluigi Colli and Gianni Gilardi and Danielle Hilhorst},
journal= {arXiv preprint arXiv:1401.5943},
year = {2014}
}
Comments
Key words: phase field model, tumor growth, viscous Cahn-Hilliard equations, well posedness, long-time behavior, asymptotic analysis