The summation of series in several variables and its applications in fluid dynamics

MAH Khan; PG Drazin; YJM Tourigny

doi:10.1016/S0169-5983(03)00038-8

The summation of series in several variables and its applications in fluid dynamics

MAH Khan, PG Drazin, YJM Tourigny

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

5 Citations (Scopus)

Abstract

We describe a method for the summation of series in powers of several variables and apply it to some problems of fluid dynamics. The summation method generates a sequence of algebraic approximants. The degree of the defining algebraic equations can either be held fixed, or else increased with the number of series coefficients used. Applications to Jeffery-Hamel flows and to porous-channel flows are discussed. In particular, we show how the method may be used to compute structurally unstable pitchfork bifurcations. (C) 2003 Published by The Japan Society of Fluid Mechanics and Elsevier Science B.V. All rights reserved.

Translated title of the contribution	The summation of series in several variables and its applications in fluid dynamics
Original language	English
Pages (from-to)	191 - 205
Number of pages	15
Journal	Fluid Dynamics Research
Volume	33 (1-2)
DOIs	https://doi.org/10.1016/S0169-5983(03)00038-8
Publication status	Published - Jul 2003

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Publisher: Elsevier Science BV

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title = "The summation of series in several variables and its applications in fluid dynamics",

abstract = "We describe a method for the summation of series in powers of several variables and apply it to some problems of fluid dynamics. The summation method generates a sequence of algebraic approximants. The degree of the defining algebraic equations can either be held fixed, or else increased with the number of series coefficients used. Applications to Jeffery-Hamel flows and to porous-channel flows are discussed. In particular, we show how the method may be used to compute structurally unstable pitchfork bifurcations. (C) 2003 Published by The Japan Society of Fluid Mechanics and Elsevier Science B.V. All rights reserved.",

author = "MAH Khan and PG Drazin and YJM Tourigny",

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doi = "10.1016/S0169-5983(03)00038-8",

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journal = "Fluid Dynamics Research",

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T1 - The summation of series in several variables and its applications in fluid dynamics

AU - Khan, MAH

AU - Drazin, PG

AU - Tourigny, YJM

N1 - Publisher: Elsevier Science BV

PY - 2003/7

Y1 - 2003/7

N2 - We describe a method for the summation of series in powers of several variables and apply it to some problems of fluid dynamics. The summation method generates a sequence of algebraic approximants. The degree of the defining algebraic equations can either be held fixed, or else increased with the number of series coefficients used. Applications to Jeffery-Hamel flows and to porous-channel flows are discussed. In particular, we show how the method may be used to compute structurally unstable pitchfork bifurcations. (C) 2003 Published by The Japan Society of Fluid Mechanics and Elsevier Science B.V. All rights reserved.

AB - We describe a method for the summation of series in powers of several variables and apply it to some problems of fluid dynamics. The summation method generates a sequence of algebraic approximants. The degree of the defining algebraic equations can either be held fixed, or else increased with the number of series coefficients used. Applications to Jeffery-Hamel flows and to porous-channel flows are discussed. In particular, we show how the method may be used to compute structurally unstable pitchfork bifurcations. (C) 2003 Published by The Japan Society of Fluid Mechanics and Elsevier Science B.V. All rights reserved.

U2 - 10.1016/S0169-5983(03)00038-8

DO - 10.1016/S0169-5983(03)00038-8

M3 - Article (Academic Journal)

SN - 1873-7005

VL - 33 (1-2)

SP - 191

EP - 205

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

ER -

The summation of series in several variables and its applications in fluid dynamics

Abstract

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