The evolution and morphological stability of a particle in a binary alloy melt is re-examined
using the asymptotic method. The resulting asymptotic solution of the dynamics model of the …

Hele-Shaw problems are prototypes to study the interface dynamics. Linear theory suggests
the existence of self-similar patterns in a Hele-Shaw flow. That is, with a specific injection …

The evolution of precipitates in stressed solids is modeled by coupling a quasi-steady
diffusion equation and a linear elasticity equation with dynamic boundary conditions. The …

In this paper, we study nonlinear wrinkling dynamics of a vesicle in an extensional flow.
Motivated by the recent experiments and linear theory on wrinkles of a quasi‐spherical …

The growth and morphological stability of a precipitate in a multi-component solution with
cross diffusion between solute species is studied by using the asymptotic method. The …

The growth of particles in the alloy melt with anisotropic interface kinetics is studied in terms
of the asymptotic method. The resulting asymptotic solution for the dynamics model of the …

In this paper, we propose a space-time rescaling scheme for computing the long time
evolution of multiple precipitates in an elastically stressed medium. The algorithm is second …

Abstract The Ohta-Kawasaki model for diblock-copolymers is well known to the scientific
community of diffuse-interface methods. To accurately capture the long-time evolution of the …