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arxiv: 1710.06775 · v2 · pith:7AKMWA46new · submitted 2017-10-16 · 🧮 math.AP

Crystalline Evolutions in Chessboard-like Microstructures

classification 🧮 math.AP
keywords crystallineevolutionsbehaviorchessboard--likechessboard-likeconfinementcurvaturedescribe
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We describe the macroscopic behavior of evolutions by crystalline curvature of planar sets in a chessboard--like medium, modeled by a periodic forcing term. We show that the underlying microstructure may produce both pinning and confinement effects on the geometric motion.

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