The boundary integral method for propagating solid/liquid interfaces is detailed with
allowance for the thermo-solutal Stefan-type models. Two types of mass transfer …

A generalized model for the kinetics of a dendrite tip with a non-equilibrium interface is
presented for multicomponent alloys. The model includes full coupling with thermodynamic …

Since the death of Prof. Dr. Jan Czochralski nearly 50 years ago, crystals grown by the
Czochralski method have increased remarkably in size and perfection, resulting today in the …

A historical review of the development of knowledge of defect formation in semiconductor
crystals is given. The treatment starts with zero-dimensional defect types, especially native …

Over the last 50 years, there has been tremendous progress in the quantification of crystal
growth morphology. In the 1950s, the dynamics of crystal growth from the melt was based on …

The interface stability against small perturbations of the planar solid-liquid interface is
considered analytically in linear approximation. Following the analytical procedure of Trivedi …

Phase transitions can be modeled by the motion of an interface between two locally stable
phases. A modified Kuramoto-Sivashinsky equation, ht+∇ 2h+∇ 4h=(1− λ)|∇ h| 2±λ (∇ 2h) …

Equivariant bifurcation theory has been used extensively to study pattern formation via
symmetry-breaking steady-state bifurcation in various physical systems modelled by E (2) …

Computational studies of multiphase flows go back to the very beginning of Computational
Fluid Dynamics. It is, however, only during the last decade that direct numerical simulations …

Creeping is a well-known but annoying phenomenon in the preparation of crystals from
solution, where growing crystallites gradually extend up the walls of the growth vessel. In …