The crystalline dynamics of spiral-shaped curves

DOI10.1007/s10955-015-1254-5zbMath1360.82094OpenAlexW2055219329WikidataQ59404821 ScholiaQ59404821MaRDI QIDQ513017

Marcin Dudziński, Przemysław Górka

Publication date: 3 March 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-015-1254-5

zbMATH Keywords

existenceuniquenesslocalcrystalline curvatureevolution of spiral-shaped polygonal curves

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25)

Cites Work

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• Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
• Quasi-static evolution of polyhedral crystals
• Stochastic evolution of 2D crystals
• Complex dynamics of spiral waves and motion of curves
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• Critical size of crystals in the plane
• A crystalline motion of spiral-shaped curves with symmetry
• Crystalline version of the Stefan problem with Gibbs-Thompson law and kinetic undercooling
• Evolution of 3-D crystals from supersaturated vapor with modified Stefan condition: Galerkin method approach
• A Crystalline Motion: Uniqueness and Geometric Properties
• The Crystalline Version of The Modified Stefan Problem in the Plane and Its Properties
• A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL
• Motion of spirals by crystalline curvature
• A Quasi–steady Approximation to an lntegro–differential Model of lnterface Motion
• A comparison theorem for crystalline evolution in the plane

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