Motion by mean curvature by scaling a nonlocal equation: Convergence at all times in the two-dimensional case

DOI10.1007/BF00751170zbMath0801.53057OpenAlexW2150779609MaRDI QIDQ1329170

Paolo Buttà

Publication date: 29 June 1994

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00751170

zbMATH Keywords

convergenceevolution equationsGlauber dynamicsspin systemmotion by mean curvatureKac interaction

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

Related Items (1)

Relaxation of the curve shortening flow via the parabolic Ginzburg-Landau equation

Cites Work

• Unnamed Item
• Unnamed Item
• Flow by mean curvature of convex surfaces into spheres
• Curve shortening makes convex curves circular
• The heat equation shrinking convex plane curves
• Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
• Generation and propagation of interfaces for reaction-diffusion equations
• Interface motion in models with stochastic dynamics
• On the validity of an einstein relation in models of interface dynamics
• Motion by curvature by scaling nonlocal evolution equations
• Phase transitions and generalized motion by mean curvature
• Glauber evolution with Kac potentials. I. Mesoscopic and macroscopic limits, interface dynamics
• Front Propagation and Phase Field Theory
• Rigorous Treatment of the Van Der Waals-Maxwell Theory of the Liquid-Vapor Transition

This page was built for publication: Motion by mean curvature by scaling a nonlocal equation: Convergence at all times in the two-dimensional case