Formation of singularities for a transport equation with nonlocal velocity

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dc.creatorCordoba, Antonio
dc.creatorCordoba, Diego
dc.creatorFontelos, Marco A.
dc.date2007-06-13
dc.date.accessioned2026-07-07T08:09:53Z
dc.date.available2026-07-07T08:09:53Z
dc.descriptionWe study a 1D transport equation with nonlocal velocity and show the formation of singularities in finite time for a generic family of initial data. By adding a diffusion term the finite time singularity is prevented and the solutions exist globally in time.
dc.description13 pages, published version
dc.identifierhttps://arxiv.org/abs/0706.1969
dc.identifierhttp://arxiv.org/abs/0706.1969
dc.identifierAnn. of Math. (2) 162 (2005), no. 3, 1377--1389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131677
dc.subjectAnalysis of PDEs
dc.titleFormation of singularities for a transport equation with nonlocal velocity
dc.typetext

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