On the modified crystalline Stefan problem with singular data

DOI10.1006/jdeq.2001.4081zbMath1007.35106OpenAlexW2027706409MaRDI QIDQ1614728

Piotr Rybka

Publication date: 8 September 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4081

zbMATH Keywords

Stefan problemcrystalline anisotropyGibbs-Thomson lawfacet breaking

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Cites Work

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• Geometric theory of semilinear parabolic equations
• Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling
• Modeling crystal growth in a diffusion field using fully faceted interfaces
• Mathematical existence of crystal growth with Gibbs-Thomson curvature effects
• On convergence of solutions of the crystalline Stefan problem with Gibbs-Thomson law and kinetic undercooling
• Convergence of the phase-field equations to the Mullins-Sekerka problem with kinetic undercooling
• Crystalline version of the Stefan problem with Gibbs-Thompson law and kinetic undercooling
• Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature
• Regularity and Convergence of Crystalline Motion
• The Crystalline Version of The Modified Stefan Problem in the Plane and Its Properties
• A Quasi–steady Approximation to an lntegro–differential Model of lnterface Motion
• Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces
• Applications of functional analysis and operator theory

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