Abstract
We study the limiting behavior (the macroscopic limit) of an appropriately scaled spin system with Glauber-Kawasaki dynamics. We rigorously establish the existence in the limit of an interface evolving according to motion by mean curvature. This limit is valid for all positive times, past possible geometric singularities of the motion, which is interpreted in the viscosity sense.
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Communicated by R. Kohn
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Katsoulakis, M.A., Souganidis, P.E. Interacting particle systems and generalized evolution of fronts. Arch. Rational Mech. Anal. 127, 133–157 (1994). https://doi.org/10.1007/BF00377658
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DOI: https://doi.org/10.1007/BF00377658