Perturbation of nilpotent semigroups and application to heat exchanger equations

Jian Hua Chen; Wen Ying Lu

doi:10.1016/j.aml.2011.04.023

Perturbation of nilpotent semigroups and application to heat exchanger equations

Jian Hua Chen^*, Wen Ying Lu

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

It is shown that the nilpotency is preserved by the perturbed semigroup for a class of perturbation operators. The obtained result is applied to explain mathematically a thermodynamic phenomenon of some heat exchangers.

Original language	English
Pages (from-to)	1698-1701
Number of pages	4
Journal	Applied Mathematics Letters
Volume	24
Issue number	10
DOIs	https://doi.org/10.1016/j.aml.2011.04.023
Publication status	Published - Oct 2011
Externally published	Yes

Keywords

C-semigroup
Dyson-Phillips series
Heat exchanger equation
Nilpotent

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10.1016/j.aml.2011.04.023

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@article{546a4fe15b0e426e92388489a237647e,

title = "Perturbation of nilpotent semigroups and application to heat exchanger equations",

abstract = "It is shown that the nilpotency is preserved by the perturbed semigroup for a class of perturbation operators. The obtained result is applied to explain mathematically a thermodynamic phenomenon of some heat exchangers.",

keywords = "C-semigroup, Dyson-Phillips series, Heat exchanger equation, Nilpotent",

author = "Chen, \{Jian Hua\} and Lu, \{Wen Ying\}",

year = "2011",

month = oct,

doi = "10.1016/j.aml.2011.04.023",

language = "English",

volume = "24",

pages = "1698--1701",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

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number = "10",

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TY - JOUR

T1 - Perturbation of nilpotent semigroups and application to heat exchanger equations

AU - Chen, Jian Hua

AU - Lu, Wen Ying

PY - 2011/10

Y1 - 2011/10

N2 - It is shown that the nilpotency is preserved by the perturbed semigroup for a class of perturbation operators. The obtained result is applied to explain mathematically a thermodynamic phenomenon of some heat exchangers.

AB - It is shown that the nilpotency is preserved by the perturbed semigroup for a class of perturbation operators. The obtained result is applied to explain mathematically a thermodynamic phenomenon of some heat exchangers.

KW - C-semigroup

KW - Dyson-Phillips series

KW - Heat exchanger equation

KW - Nilpotent

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000291912300014

UR - https://www.scopus.com/pages/publications/79957550367

U2 - 10.1016/j.aml.2011.04.023

DO - 10.1016/j.aml.2011.04.023

M3 - Journal Article

AN - SCOPUS:79957550367

SN - 0893-9659

VL - 24

SP - 1698

EP - 1701

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 10

ER -

Perturbation of nilpotent semigroups and application to heat exchanger equations

Abstract

Keywords

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