Evolution of 3-D crystals from supersaturated vapor with modified Stefan condition: Galerkin method approach

DOI10.1016/j.jmaa.2007.11.039zbMath1136.82040OpenAlexW1995387596MaRDI QIDQ2480366

Przemysław Górka

Publication date: 31 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.11.039

zbMATH Keywords

free boundary problemStefan problemcrystal growthGibbs-Thomson relation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of crystals (82D25) Free boundary problems for PDEs (35R35)

Related Items

The crystalline dynamics of spiral-shaped curves, Stochastic evolution of 2D crystals

Cites Work

• Stability of facets of crystals growing from vapor
• Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling
• Mathematical existence of crystal growth with Gibbs-Thomson curvature effects
• Existence of self-similar evolution of crystals grown from supersaturated vapor
• Quasi-static evolution of 3-D crystals grown from supersaturated vapor.
• Stability of facets of self-similar motion of a crystal
• Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature
• Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces
• On the motion by singular interfacial energy
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