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

60 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

Access to Document

10.1016/j.aml.2014.04.007

Cite this

@article{ae8a3a558c7d47f6bdbb1972a607dab5,

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",

year = "2014",

month = sep,

doi = "10.1016/j.aml.2014.04.007",

language = "English",

volume = "35",

pages = "29--34",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd.",

number = "1",

}

TY - JOUR

T1 - Global existence and blow-up for a system describing the aggregation of microglia

AU - Espejo, Elio

AU - Suzuki, Takashi

PY - 2014/9

Y1 - 2014/9

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84899680282&partnerID=8YFLogxK

U2 - 10.1016/j.aml.2014.04.007

DO - 10.1016/j.aml.2014.04.007

M3 - Article

AN - SCOPUS:84899680282

SN - 0893-9659

VL - 35

SP - 29

EP - 34

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this