WAVE-LIKE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS ON A CYLINDER: DEPENDENCE ON CYLINDER WIDTH.

Jonathan Bell; Chris Cosner

doi:10.1137/0147036

WAVE-LIKE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS ON A CYLINDER: DEPENDENCE ON CYLINDER WIDTH.

Jonathan Bell, Chris Cosner

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

2 Scopus citations

Abstract

For a certain class of scalar reaction-diffusion equations, we show that any solution decays if the cylindrical domain's width is too narrow, whereas if it is sufficiently thick, there are solutions which lie and persist between two traveling wave fronts. These ideas are then generalized to a special class of reaction-diffusion systems occurring in the modeling of competing biological species.

Original language	English (US)
Pages (from-to)	534-543
Number of pages	10
Journal	SIAM Journal on Applied Mathematics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1137/0147036
State	Published - Jan 1 1987
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1137/0147036

Fingerprint Dive into the research topics of 'WAVE-LIKE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS ON A CYLINDER: DEPENDENCE ON CYLINDER WIDTH.'. Together they form a unique fingerprint.

Cite this

@article{30ae1edd6e6049ee8ca0b8555212b101,

title = "WAVE-LIKE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS ON A CYLINDER: DEPENDENCE ON CYLINDER WIDTH.",

abstract = "For a certain class of scalar reaction-diffusion equations, we show that any solution decays if the cylindrical domain's width is too narrow, whereas if it is sufficiently thick, there are solutions which lie and persist between two traveling wave fronts. These ideas are then generalized to a special class of reaction-diffusion systems occurring in the modeling of competing biological species.",

author = "Jonathan Bell and Chris Cosner",

year = "1987",

month = jan,

day = "1",

doi = "10.1137/0147036",

language = "English (US)",

volume = "47",

pages = "534--543",

journal = "SIAM Journal on Applied Mathematics",

issn = "0036-1399",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "3",

}

TY - JOUR

T1 - WAVE-LIKE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS ON A CYLINDER

T2 - DEPENDENCE ON CYLINDER WIDTH.

AU - Bell, Jonathan

AU - Cosner, Chris

PY - 1987/1/1

Y1 - 1987/1/1

N2 - For a certain class of scalar reaction-diffusion equations, we show that any solution decays if the cylindrical domain's width is too narrow, whereas if it is sufficiently thick, there are solutions which lie and persist between two traveling wave fronts. These ideas are then generalized to a special class of reaction-diffusion systems occurring in the modeling of competing biological species.

AB - For a certain class of scalar reaction-diffusion equations, we show that any solution decays if the cylindrical domain's width is too narrow, whereas if it is sufficiently thick, there are solutions which lie and persist between two traveling wave fronts. These ideas are then generalized to a special class of reaction-diffusion systems occurring in the modeling of competing biological species.

UR - http://www.scopus.com/inward/record.url?scp=0023366144&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023366144&partnerID=8YFLogxK

U2 - 10.1137/0147036

DO - 10.1137/0147036

M3 - Article

AN - SCOPUS:0023366144

VL - 47

SP - 534

EP - 543

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 3

ER -

WAVE-LIKE SOLUTIONS TO REACTION-DIFFUSION EQUATIONS ON A CYLINDER: DEPENDENCE ON CYLINDER WIDTH.

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this