In the present work, we consider the evolution of two fluids separated by a sharp interface in
the presence of surface tension—like, for example, the evolution of oil bubbles in water. Our …

A system of phase-field equations with strong-coupling through state and gradient
dependent non-diagonal mobility matrices is studied. Existence of weak solutions is …

In this article, we discuss nonstationary models for inhomogeneous liquid crystals driven out
of equilibrium by flow. Emphasis is put on those models which are used in the mathematics …

A model due to Ericksen and Leslie describing incompressible liquid crystals is studied for a
general class of free energies. Global existence of weak solutions is proven via a Galerkin …

In this paper, we prove the existence of weak solutions for a thermodynamically consistent
phase-field model introduced in [25] in two and three dimensions of space. We use a notion …

In this paper we investigate the existence of solutions and their weak-strong uniqueness
property for a PDE system modelling damage in viscoelastic materials. In fact, we address …

The aim of this paper is to analyze a viscoelastic phase separation model. We derive a
suitable notion of the relative energy taking into account the nonconvex nature of the energy …

Viscoelastic phase separation describes dynamically asymmetric demixing of polymer
solutions after a deep quench, ie, after a sudden decrease in the temperature. The dynamic …

Our aim in this paper is to prove the weak-strong uniqueness property of solutions to a
hydrodynamic system that models the dynamics of incompressible magneto-viscoelastic …