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[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.
  • Classification : 76Txx, 76Zxx, 35Q74, 35D30, Analysis of nonlinear partial differential equations
  • Format : Talk at Waseda University
  • Author(s) :
    • Meraj Alam (Mahindra University, Hyderabad)
    • Adrian Muntean (University of Karlstad)
    • Raja Sekhar G P (Indian Institute of Technology Kharagpur India)