Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid

K. U N Wang; L. I N Yanping; H. E. Yinnian

doi:10.3934/dcds.2012.32.657

Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid

K. U N Wang, L. I N Yanping, H. E. Yinnian

The Hong Kong Polytechnic University

Research output: Journal article publication › Journal article › Academic research › peer-review

19 Citations (Scopus)

Abstract

In this paper, the asymptotic analysis of the two-dimensional viscoelastic Oldroyd flows is presented. With the physical constant ρ/δ approaches zero, where ρ is the viscoelastic coefficient and 1/ρ the relaxation time, the viscoelastic Oldroyd fluid motion equations converge to the viscous model known as the famous Navier-Stokes equations. Both the continuous and discrete uniform-in-time asymptotic errors are provided. Finally, the theoretical predictions are confirmed by some numerical experiments.

Original language	English
Pages (from-to)	657-677
Number of pages	21
Journal	Discrete and Continuous Dynamical Systems
Volume	32
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2012.32.657
Publication status	Published - 1 Feb 2012

Keywords

Asymptotic behavior
Long time behavior
Navier-Stokes equations
Oldroyd model
Viscoelastic flows

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics
Analysis

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10.3934/dcds.2012.32.657

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abstract = "In this paper, the asymptotic analysis of the two-dimensional viscoelastic Oldroyd flows is presented. With the physical constant ρ/δ approaches zero, where ρ is the viscoelastic coefficient and 1/ρ the relaxation time, the viscoelastic Oldroyd fluid motion equations converge to the viscous model known as the famous Navier-Stokes equations. Both the continuous and discrete uniform-in-time asymptotic errors are provided. Finally, the theoretical predictions are confirmed by some numerical experiments.",

keywords = "Asymptotic behavior, Long time behavior, Navier-Stokes equations, Oldroyd model, Viscoelastic flows",

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AU - Yinnian, H. E.

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N2 - In this paper, the asymptotic analysis of the two-dimensional viscoelastic Oldroyd flows is presented. With the physical constant ρ/δ approaches zero, where ρ is the viscoelastic coefficient and 1/ρ the relaxation time, the viscoelastic Oldroyd fluid motion equations converge to the viscous model known as the famous Navier-Stokes equations. Both the continuous and discrete uniform-in-time asymptotic errors are provided. Finally, the theoretical predictions are confirmed by some numerical experiments.

AB - In this paper, the asymptotic analysis of the two-dimensional viscoelastic Oldroyd flows is presented. With the physical constant ρ/δ approaches zero, where ρ is the viscoelastic coefficient and 1/ρ the relaxation time, the viscoelastic Oldroyd fluid motion equations converge to the viscous model known as the famous Navier-Stokes equations. Both the continuous and discrete uniform-in-time asymptotic errors are provided. Finally, the theoretical predictions are confirmed by some numerical experiments.

KW - Asymptotic behavior

KW - Long time behavior

KW - Navier-Stokes equations

KW - Oldroyd model

KW - Viscoelastic flows

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Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid

Abstract

Keywords

ASJC Scopus subject areas

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