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 existence of self-similar solutions to the system under a special choice of interfacial energy and kinetic coefficients
Abstract. We study a nonlinear pseudodifferential equation describing the dynamics of dislocations i...
We extend the analytical method developed in a recent paper to investigate the existence of axisymme...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This syste...
We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This syste...
Gonda and Gorni (T.Gonda, H.Gomi, Ann. Glaciology, 6 (1985), 222 224) have grown large elongated ice...
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...
We are concerned with a quasi-steady Stefan type problem with Gibbs-Thomson re-lation and the mobili...
AbstractWe examine the evolution of crystals in three dimensions. We assume that the Wulff shape is ...
The quasi-static evolution of planar crystals grown from supersaturation or dilute solutions are stu...
Abstract. This article studies self-similar shrinking, stationary, and expanding so-lutions of a 2-d...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
A planar anisotropic curvature flow equation with constant driving force term is considered when the...
For a given sector a selfsimilar expanding solution to a crystalline flow is constructed. The soluti...
Abstract. We study a nonlinear pseudodifferential equation describing the dynamics of dislocations i...
We extend the analytical method developed in a recent paper to investigate the existence of axisymme...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This syste...
We study a cylindrical crystalline flow in three dimensions coupled to a diffusion field. This syste...
Gonda and Gorni (T.Gonda, H.Gomi, Ann. Glaciology, 6 (1985), 222 224) have grown large elongated ice...
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...
We are concerned with a quasi-steady Stefan type problem with Gibbs-Thomson re-lation and the mobili...
AbstractWe examine the evolution of crystals in three dimensions. We assume that the Wulff shape is ...
The quasi-static evolution of planar crystals grown from supersaturation or dilute solutions are stu...
Abstract. This article studies self-similar shrinking, stationary, and expanding so-lutions of a 2-d...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
A planar anisotropic curvature flow equation with constant driving force term is considered when the...
For a given sector a selfsimilar expanding solution to a crystalline flow is constructed. The soluti...
Abstract. We study a nonlinear pseudodifferential equation describing the dynamics of dislocations i...
We extend the analytical method developed in a recent paper to investigate the existence of axisymme...
Consider a Stefan-like problem with Gibbs-Thomson and kinetic effects as a model of crystal growth f...
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