EXISTENCE OF WEAK SOLUTIONS FOR THE QUASI-STATE FLOW OF BLOOD AND MATHEMATICAL COAGULATION MODELLING

Abstract

We consider a mathematical model that describes the quasi-state flow of blood involving the Bingham model. We derive a weak formulation of the system consisting of a stationary motion equation, a convection-diffusion-reaction equation and an energy con- servation equation. We prove the existence of weak solutions and some properties of the solutions. We also study the mathematical modelling of blood coagulation, for which we prove a maximum principle