We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This system arises in modeling crystals grown from supersaturated vapor. We show exis-tence of self-similar solutions to the system under a special choice of interfacial energy and kinetic coefficients.
Usually, the growth of a crystal vacuum interface is described in terms of atom diffusion along the ...
This paper presents a three-dimensional model of step flow mediated crystal growth which carefully a...
Theoretical aspects of crystal growth far from equilibrium are investigated. The study of temporal c...
We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This syste...
In this paper, Part I of our study, we revisit the linear analysis of the quasi-steady diffusional e...
We present a one-phase quasi-steady Stefan problem with Gibbs-Thomson and the kinetic effects when t...
Gonda and Gorni (T.Gonda, H.Gomi, Ann. Glaciology, 6 (1985), 222 224) have grown large elongated ice...
We are concerned with a quasi-steady Stefan type problem with Gibbs-Thomson re-lation and the mobili...
Abstract. This article studies self-similar shrinking, stationary, and expanding so-lutions of a 2-d...
The quasi-static evolution of planar crystals grown from supersaturation or dilute solutions are stu...
AbstractWe examine the evolution of crystals in three dimensions. We assume that the Wulff shape is ...
A planar anisotropic curvature flow equation with constant driving force term is considered when the...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
A mathematical treatment is presented for the growth of dendrites or precipitates with parabolic int...
Usually, the growth of a crystal vacuum interface is described in terms of atom diffusion along the ...
This paper presents a three-dimensional model of step flow mediated crystal growth which carefully a...
Theoretical aspects of crystal growth far from equilibrium are investigated. The study of temporal c...
We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This syste...
In this paper, Part I of our study, we revisit the linear analysis of the quasi-steady diffusional e...
We present a one-phase quasi-steady Stefan problem with Gibbs-Thomson and the kinetic effects when t...
Gonda and Gorni (T.Gonda, H.Gomi, Ann. Glaciology, 6 (1985), 222 224) have grown large elongated ice...
We are concerned with a quasi-steady Stefan type problem with Gibbs-Thomson re-lation and the mobili...
Abstract. This article studies self-similar shrinking, stationary, and expanding so-lutions of a 2-d...
The quasi-static evolution of planar crystals grown from supersaturation or dilute solutions are stu...
AbstractWe examine the evolution of crystals in three dimensions. We assume that the Wulff shape is ...
A planar anisotropic curvature flow equation with constant driving force term is considered when the...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
A mathematical treatment is presented for the growth of dendrites or precipitates with parabolic int...
Usually, the growth of a crystal vacuum interface is described in terms of atom diffusion along the ...
This paper presents a three-dimensional model of step flow mediated crystal growth which carefully a...
Theoretical aspects of crystal growth far from equilibrium are investigated. The study of temporal c...