Abstract
We prove convergence to a motion by mean curvature by scaling diffusively a nonlinear, nonlocal evolution equation. This equation was introduced earlier to describe the macroscopic behavior of a ferromagnetic spin system with Kac interaction which evolves with Glauber dynamics. The convergence is proven in any time interval in which the limiting motion is regular.
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De Masi, A., Orlandi, E., Presutti, E. et al. Motion by curvature by scaling nonlocal evolution equations. J Stat Phys 73, 543–570 (1993). https://doi.org/10.1007/BF01054339
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DOI: https://doi.org/10.1007/BF01054339