Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system

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dc.creatorCieślak, Tomasz
dc.creatorLaurençot, Philippe
dc.date2008-10-19
dc.date.accessioned2026-07-07T10:11:35Z
dc.date.available2026-07-07T10:11:35Z
dc.descriptionFinite time blow-up is shown to occur for solutions to a one-dimensional quasilinear parabolic-parabolic chemotaxis system as soon as the mean value of the initial condition exceeds some threshold value. The proof combines a novel identity of virial type with the boundedness from below of the Liapunov functional associated to the system, the latter being peculiar to the one-dimensional setting.
dc.identifierhttps://arxiv.org/abs/0810.3369
dc.identifierhttp://arxiv.org/abs/0810.3369
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171904
dc.subjectAnalysis of PDEs
dc.titleFinite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system
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