With Jon Weare(Chicago),we study the continuum limit of a family of kinetic Monte Carlo models of crystal surface relaxation that includes both the solid-on
The collective behaviour of a row of dislocation dipoles is here studied with the matched asymptotic techniques.The discrete-to-continuum transition is faci
The talk summarizes several new numerical approaches for modeling dynamic interfaces.We present algorithms including the Grid Based Particle Method(GBPM),th
By means of a suitable Phase-Field approach we investigate the evolution towards equilibrium of three-dimensional structures characterized by arbitrary face
We present a continuum framework for dislocation structure,energy and dynamics of dislocation arrays and low angle grain boundaries which may be nonplanar a
We propose finite element based numerical approximations of some phase-field models for mixtures of incompressible fluids with variable densities and viscos
Recently new local regularity for the curve diffusion flow has become available,giving strong local space-time control of the(hyper)surface diffusion flow i
We consider numerical simulation of compositional multiphase flow in porous media,and we show the importance and significance in preserving certain physics.
Motion by surface diffusion,in which the normal velocity of an evolving surface is proportional to minus the surface Laplacian of its mean curvature,constit