In this paper we formulate a Stefan problem appropriate when the thermophysical properties
are distinct in each phase and the phase-change temperature is size or velocity dependent …

The melting process of a spherical nanoparticle is analysed using a mathematical model
derived from continuum theory. The standard model for macro-scale melting is modified to …

In this paper, we study the melting of a spherical nanoparticle. The model differs from
previous ones in that a number of features have been incorporated to match experimental …

We investigate pattern formation in a two-dimensional (2D) Fisher–Stefan model, which
involves solving the Fisher–KPP equation on a compactly-supported region with a moving …

The effect of surface energy on the melting of micro/nanoparticles is studied using the
asymptotic method. The asymptotic solution of the dynamic model for micro/nanoparticle …

The eXtreme Mesh deformation approach (X-MESH) is a new paradigm to follow sharp
interfaces without remeshing and without changing the mesh topology. Even though the …

The melting temperature of a nanoscaled particle is known to decrease as the curvature of
the solid-melt interface increases. This relationship is most often modelled by a Gibbs …

The beginning of the ice-growth from a nucleus in the freezing process of a single
supercooled droplet is modelled through a two-phase Stefan problem which is characterized …

Fast agglomeration by emulsion binders to capture fine, hydrophobic particles has been
developed in the past few years as an alternative to froth flotation by small air bubbles. This …

Motivated by a problem from fluid mechanics, we consider a generalization of the standard
curve shortening flow problem for a closed embedded plane curve such that the area …