Multiple peak aggregations for the Keller-Segel system

Yukihiro Seki; Yoshie Sugiyama; Juan J.L. Velázquez

doi:10.1088/0951-7715/26/2/319

Multiple peak aggregations for the Keller-Segel system

Yukihiro Seki, Yoshie Sugiyama, Juan J.L. Velázquez

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper we derive matched asymptotic expansions for a solution of the Keller-Segel system in two space dimensions for which the amount of mass aggregation is 8πN, where N = 1, 2, 3, ⋯ Previously available asymptotics had been computed only for the case in which N = 1.

Original language	English
Pages (from-to)	319-352
Number of pages	34
Journal	Nonlinearity
Volume	26
Issue number	2
DOIs	https://doi.org/10.1088/0951-7715/26/2/319
Publication status	Published - Feb 2013

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)
Applied Mathematics

Access to Document

10.1088/0951-7715/26/2/319

Cite this

@article{70dee404b53943b29e0f5ff4f4ad966b,

title = "Multiple peak aggregations for the Keller-Segel system",

abstract = "In this paper we derive matched asymptotic expansions for a solution of the Keller-Segel system in two space dimensions for which the amount of mass aggregation is 8πN, where N = 1, 2, 3, ⋯ Previously available asymptotics had been computed only for the case in which N = 1.",

author = "Yukihiro Seki and Yoshie Sugiyama and Vel{\'a}zquez, {Juan J.L.}",

year = "2013",

month = feb,

doi = "10.1088/0951-7715/26/2/319",

language = "English",

volume = "26",

pages = "319--352",

journal = "Nonlinearity",

issn = "0951-7715",

publisher = "IOP Publishing Ltd.",

number = "2",

}

TY - JOUR

T1 - Multiple peak aggregations for the Keller-Segel system

AU - Seki, Yukihiro

AU - Sugiyama, Yoshie

AU - Velázquez, Juan J.L.

PY - 2013/2

Y1 - 2013/2

N2 - In this paper we derive matched asymptotic expansions for a solution of the Keller-Segel system in two space dimensions for which the amount of mass aggregation is 8πN, where N = 1, 2, 3, ⋯ Previously available asymptotics had been computed only for the case in which N = 1.

AB - In this paper we derive matched asymptotic expansions for a solution of the Keller-Segel system in two space dimensions for which the amount of mass aggregation is 8πN, where N = 1, 2, 3, ⋯ Previously available asymptotics had been computed only for the case in which N = 1.

UR - http://www.scopus.com/inward/record.url?scp=84872695490&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872695490&partnerID=8YFLogxK

U2 - 10.1088/0951-7715/26/2/319

DO - 10.1088/0951-7715/26/2/319

M3 - Article

AN - SCOPUS:84872695490

SN - 0951-7715

VL - 26

SP - 319

EP - 352

JO - Nonlinearity

JF - Nonlinearity

IS - 2

ER -

Multiple peak aggregations for the Keller-Segel system

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this