Global existence and blow-up for a system describing the aggregation of microglia

Elio Espejo; Takashi Suzuki

doi:10.1016/j.aml.2014.04.007

Global existence and blow-up for a system describing the aggregation of microglia

Elio Espejo, Takashi Suzuki

Research output: Journal Publication › Article › peer-review

57 Citations (Scopus)

Abstract

We consider the system ^ut=Δu-(χuv)+(ξuw), τ^vt=Δv+αu-βv,τ^wt= Δw+γu-δw, which has been proposed to describe the aggregation of microglia. We study the problem of global existence and blow-up for this system.

Original language	English
Pages (from-to)	29-34
Number of pages	6
Journal	Applied Mathematics Letters
Volume	35
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2014.04.007
Publication status	Published - Sept 2014
Externally published	Yes

Keywords

Aggregation
Alzheimer
Blow-up
Elliptic
Keller-Segel model
Parabolic

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2014.04.007

Cite this

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title = "Global existence and blow-up for a system describing the aggregation of microglia",

abstract = "We consider the system ut=Δu-(χuv)+(ξuw), τvt=Δv+αu-βv,τwt= Δw+γu-δw, which has been proposed to describe the aggregation of microglia. We study the problem of global existence and blow-up for this system.",

keywords = "Aggregation, Alzheimer, Blow-up, Elliptic, Keller-Segel model, Parabolic",

author = "Elio Espejo and Takashi Suzuki",

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AB - We consider the system ut=Δu-(χuv)+(ξuw), τvt=Δv+αu-βv,τwt= Δw+γu-δw, which has been proposed to describe the aggregation of microglia. We study the problem of global existence and blow-up for this system.

KW - Aggregation

KW - Alzheimer

KW - Blow-up

KW - Elliptic

KW - Keller-Segel model

KW - Parabolic

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Global existence and blow-up for a system describing the aggregation of microglia

Abstract

Keywords

ASJC Scopus subject areas

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