Magnetohydrodynamic flow due to noncoaxial rotations of a porous disk and a fourth-grade fluid at infinity.
Mathematical derivation of the power law describing polymer flow through a thin slab
Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer
Method of straight lines for a Bingham problem.
Method of straight lines for a Bingham problem as a model for the flow of waxy crude oils.
Modeling, mathematical and numerical analysis of electrorheological fluids
Many electrorheological fluids are suspensions consisting of solid particles and a carrier oil. If such a suspension is exposed to a strong electric field the effective viscosity increases dramatically. In this paper we first derive a model which captures this behaviour. For the resulting system of equations we then prove local in time existence of strong solutions for large data. For these solutions we finally derive error estimates for a fully implicit time-discretization.
Modelling and Numerical Simulation of the Dynamics of Glaciers Including Local Damage Effects
A numerical model to compute the dynamics of glaciers is presented. Ice damage due to cracks or crevasses can be taken into account whenever needed. This model allows simulations of the past and future retreat of glaciers, the calving process or the break-off of hanging glaciers. All these phenomena are strongly affected by climate change.Ice is assumed to behave as an incompressible fluid with nonlinear viscosity, so that the velocity and pressure...
Modelling fluid flow and heat transfer in a saturated porous medium.