Stability of a Two-Dimensional Poiseuille-Type Flow for a Viscoelastic Fluid

Masakazu Endo; Yoshikazu Giga; Dario Götz; Chun Liu

doi:10.1007/s00021-016-0294-1

Stability of a Two-Dimensional Poiseuille-Type Flow for a Viscoelastic Fluid

Masakazu Endo, Yoshikazu Giga, Dario Götz, Chun Liu

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

6 Scopus citations

Abstract

A viscoelastic flow in a two-dimensional layer domain is considered. An L²-stability of the Poiseuille-type flow is established provided that both Poiseuille flow and perturbation is sufficiently small. Our analysis is based on a stream function formulation introduced by Lin et al. (Commun Pure Appl Math 58(11):1437–1471, 2005).

Original language	English (US)
Pages (from-to)	17-45
Number of pages	29
Journal	Journal of Mathematical Fluid Mechanics
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/s00021-016-0294-1
State	Published - Mar 1 2017

All Science Journal Classification (ASJC) codes

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

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10.1007/s00021-016-0294-1

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abstract = "A viscoelastic flow in a two-dimensional layer domain is considered. An L2-stability of the Poiseuille-type flow is established provided that both Poiseuille flow and perturbation is sufficiently small. Our analysis is based on a stream function formulation introduced by Lin et al. (Commun Pure Appl Math 58(11):1437–1471, 2005).",

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AU - Giga, Yoshikazu

AU - Götz, Dario

AU - Liu, Chun

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AB - A viscoelastic flow in a two-dimensional layer domain is considered. An L2-stability of the Poiseuille-type flow is established provided that both Poiseuille flow and perturbation is sufficiently small. Our analysis is based on a stream function formulation introduced by Lin et al. (Commun Pure Appl Math 58(11):1437–1471, 2005).

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Stability of a Two-Dimensional Poiseuille-Type Flow for a Viscoelastic Fluid

Abstract

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