Display Abstract

Title Dynamics of fluid interfaces with surface viscosity and Helfrich forcing

Name Harald Garcke
Country Germany
Email harald.garcke@ur.de
Submit Time 2014-02-28 10:10:54
Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
In two-phase flow the interface often has important additional aspects. First we discuss the Boussinesq-Scriven surface fluid model and a model for biomembranes due to Arroyo and DeSimone taking curvature elasticity forcing into account. We then present analytical properties of the model and introduce a parametric finite element method for the evolution problem. For the discrete equations we show stability estimates and finally we present numerical computations in two and three space dimensions which show different phenomena stemming from surface viscosity and from forces originating from the Helfrich energy.