Franziska Weber

A convergent finite element method for a model of liquid crystal dynamics subjected to an electric field

Abstract We present a convergent and constraint-preserving fully-discrete finite element discretization of a mathematical model for the dynamics of a liquid crystal subjected to an electric field. This model can be derived from the Oseen-Frank director field theory, assuming that...

Global Existence of Weak Solutions to a Two-Phase Diffuse Interface Model of Ferrofluids Dynamics

Abstract. Ferrofluids are a class of materials that exhibit both fluid and magnetic properties. We consider a two-phase diffuse interface model for the dynamics of ferrofluids on a bounded domain. One phase is assumed to be magnetic, the other phase can be magnetic or nonmagnetic...