Convergence of perturbed Allen-Cahn equations to forced mean curvature flow

Simple item page
dc.creatorMugnai, Luca
dc.creatorRöger, Matthias
dc.date2009-02-11
dc.date.accessioned2026-07-07T12:40:31Z
dc.date.available2026-07-07T12:40:31Z
dc.descriptionWe study perturbations of the Allen-Cahn equation and prove the convergence to forced mean curvature flow in the sharp interface limit. We allow for perturbations that are square-integrable with respect to the diffuse surface area measure. We give a suitable generalized formulation for forced mean curvature flow and apply previous results for the Allen-Cahn action functional. Finally we discuss some applications.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0902.1816
dc.identifierhttp://arxiv.org/abs/0902.1816
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219468
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject53C44; 35K55, 49Q15
dc.titleConvergence of perturbed Allen-Cahn equations to forced mean curvature flow
dc.typetext

Files

Collections

arXiv