Variational evolution problems and nonlocal geometric motion

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dc.creatorFeldman, Mikhail
dc.date1997-10-05
dc.date.accessioned2026-07-07T05:23:16Z
dc.date.available2026-07-07T05:23:16Z
dc.descriptionWe consider two variational evolution problems related to Monge-Kantorovich mass transfer. These problems provide models for collapsing sandpiles and for compression molding. We prove the following connection between these problems and nonlocal geometric curvature motion: The distance functions to surfaces moving according to certain nonlocal geometric laws are solutions of the variational evolution problems. Thus we do the first step of the proof of heuristics developed in earlier works. The main techniques we use are differential equations methods in the Monge-Kantorovich theory.
dc.identifierhttps://arxiv.org/abs/math/9710206
dc.identifierhttp://arxiv.org/abs/math/9710206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76371
dc.subjectAnalysis of PDEs
dc.titleVariational evolution problems and nonlocal geometric motion
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