The dynamics and stability of thin liquid films have fascinated scientists over many decades:
the observations of regular wave patterns in film flows down a windowpane or along …

Lava flows are gravity currents of partially molten rock that cool as they flow, in some cases
melting the surface over which they flow but in all cases gradually solidifying until they come …

Numerical simulations of viscoplastic fluid flows have provided a better understanding of
fundamental properties of yield stress fluids in many applications relevant to natural and …

Viscosity regularisation methods are probably the most popular current method for
computing visco-plastic fluid flows. They are however generally used in an ad hoc manner …

The augmented Lagrangian method is applied to the steady flow problems of Bingham,
Casson and Herschel–Bulkley fluids in pipes of circular and square cross-sections. The plug …

We apply dynamical models to estimate the rheological properties of magma and lava
during the 2021–22 eruption of La Soufrière Volcano, St Vincent. Analysis of the …

Modelling has been used in the study of volcanic systems for more than 100 years, building
upon the approach first applied by Sir James Hall in 1815. Informed by observations of …

In this paper we investigate the dam-break problem for viscoplastic (Herschel–Bulkley) fluids
down a sloping flume: a fixed volume of fluid initially contained in a reservoir is released …

We develop an asymptotic solution for the Poiseuille flow of a Bingham fluid along a two-
dimensional channel of slowly varying width, for the case of small amplitude width variation …

The evolution of the liquid bridge formed between two coalescing sessile yield-stress drops
is studied experimentally. Surprisingly, we find that the height of the bridge evolves similar to …