[00362] Nonlinear biphasic mixture model: existence and uniqueness results
Session Time & Room : 5D (Aug.25, 15:30-17:10) @D402
Type : Contributed Talk
Abstract : The purpose of this study is to develop a multiphase mathematical model based on interstitial hydrodynamics and tissue deformation mechanics within an in vitro solid tumor. We use classical mixture theory to derive the balance equations for mass and momentum. The study makes a significant contribution by treating hydraulic resistivity as anisotropic and heterogeneous, which leads to strongly coupled and nonlinear PDEs. We further establish existence and uniqueness result in a weak sense.
