On a nonlocal aggregation model with nonlinear diffusion

Simple item page
dc.creatorLi, Dong
dc.creatorZhang, Xiaoyi
dc.date2009-02-12
dc.date.accessioned2026-07-07T12:40:53Z
dc.date.available2026-07-07T12:40:53Z
dc.descriptionWe consider a nonlocal aggregation equation with nonlinear diffusion which arises from the study of biological aggregation dynamics. As a degenerate parabolic problem, we prove the well-posedness, continuation criteria and smoothness of local solutions. For compactly supported nonnegative smooth initial data we prove that the gradient of the solution develops $L_x^\infty$-norm blowup in finite time.
dc.descriptionSubmitted Jun 2008
dc.identifierhttps://arxiv.org/abs/0902.2017
dc.identifierhttp://arxiv.org/abs/0902.2017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219584
dc.subjectMathematical Physics
dc.titleOn a nonlocal aggregation model with nonlinear diffusion
dc.typetext

Files

Collections

arXiv