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.
|Titolo:||Motion by curvature by scaling non local evolution equations|
|Data di pubblicazione:||1993|
|Appare nelle tipologie:||1.1 Articolo in rivista|