Pattern formation (I): The Keller-Segel Model

Simple item page
dc.creatorGuo, Yan
dc.creatorHwang, Hyung Ju
dc.date2005-09-14
dc.date.accessioned2026-07-07T05:23:11Z
dc.date.available2026-07-07T05:23:11Z
dc.descriptionWe investigate nonlinear dynamics near an unstable constant equilibrium in the classical Keller-Segel model. Given any general perturbation of magnitude $δ$, we prove that its nonlinear evolution is dominated by the corresponding linear dynamics along a fixed finite number of fastest growing modes, over a time period of $ln(1/δ)$. Our result can be interpreted as a rigourous mathematical characterization for early pattern formation in the Keller-Segel model.
dc.identifierhttps://arxiv.org/abs/math/0509305
dc.identifierhttp://arxiv.org/abs/math/0509305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76334
dc.subjectAnalysis of PDEs
dc.titlePattern formation (I): The Keller-Segel Model
dc.typetext

Files

Collections

arXiv