We study the extended Stefan problem which includes constitutional supercooling for the
solidification of a binary alloy in a finite spherical domain. We perform an asymptotic …

We consider the extended Stefan problem for the solidification of a binary alloy in a finite
one-dimensional domain accounting for constitutional supercooling. In this problem …

The Turing and Benjamin–Feir instabilities are two of the primary instability mechanisms
useful for studying the transition from homogeneous states to heterogeneous spatial or …

Artificial ground freezing (AGF) has historically been used to stabilize underground structure.
Numerical methods generally require high computational power to be applicable in practice …

Silicon is a widely utilised material, with use in the production of semiconductors, textiles,
and metallic alloys. It is produced by feeding quartz rock and carbon into huge furnaces …

The mining sector is crucial to Canada's economy but faces challenges in transitioning to
sustainable practices amid increasing global energy demands and climate change …

Solidification consists of three stages at macroscale: subcooling, freezing and cooling.
Classical two-phase Stefan problems describe freezing (or melting) phenomenon initially …

Solidification processes are crucial for many industrial applications, and understanding
these processes is important if one wants to improve various material production techniques …

Background NVIDIA is a leading company in the design and development of Graphic
Processing Units (GPUs). While traditionally employed in computer graphics applications …