Global existence versus blow up for some models of interacting particles

Simple item page
dc.creatorBiler, Piotr
dc.creatorBrandolese, Lorenzo
dc.date2006-03-28
dc.date.accessioned2026-07-07T09:26:56Z
dc.date.available2026-07-07T09:26:56Z
dc.descriptionWe study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst-Planck and the Debye-Hukel drift-diffusion systems as well as parabolic-elliptic systems of chemotaxis. In the case of a model of self-gravitating particles, we also give a result on the finite time blow up of solutions with localized and oscillating complex-valued initial data, using a method by S. Montgomery-Smith.
dc.descriptionColloq. Math. (to appear)
dc.identifierhttps://arxiv.org/abs/math/0603656
dc.identifierhttp://arxiv.org/abs/math/0603656
dc.identifierColloq. Math. 106, 2 (2006) 293--303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156928
dc.subjectAnalysis of PDEs
dc.subject35K55, 92C17, 35Q60
dc.titleGlobal existence versus blow up for some models of interacting particles
dc.typetext

Files

Collections

arXiv