High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

Peter Constantin; Jiahong Wu; Jiefeng Zhao; Yi Zhu

doi:10.1007/s00028-020-00616-8

High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

Peter Constantin, Jiahong Wu, Jiefeng Zhao, Yi Zhu

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

28 Scopus citations

Abstract

We give a small data global well-posedness result for an incompressible Oldroyd-B model with wave-number dissipation in the equation of stress tensor. The result is uniform in solvent Reynolds numbers and requires only fractional wave number-dependent dissipation (- Δ) ^β, β≥12 in the added stress.

Original language	English (US)
Pages (from-to)	2787-2806
Number of pages	20
Journal	Journal of Evolution Equations
Volume	21
Issue number	3
DOIs	https://doi.org/10.1007/s00028-020-00616-8
State	Published - Sep 2021

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Keywords

Complex fluid
Dissipation
Global existence
Nonlinear stability
Oldroyd-B
Reynolds number
Weissenberg number

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10.1007/s00028-020-00616-8

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title = "High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation",

abstract = "We give a small data global well-posedness result for an incompressible Oldroyd-B model with wave-number dissipation in the equation of stress tensor. The result is uniform in solvent Reynolds numbers and requires only fractional wave number-dependent dissipation (- Δ) β, β≥12 in the added stress.",

keywords = "Complex fluid, Dissipation, Global existence, Nonlinear stability, Oldroyd-B, Reynolds number, Weissenberg number",

author = "Peter Constantin and Jiahong Wu and Jiefeng Zhao and Yi Zhu",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2021",

month = sep,

doi = "10.1007/s00028-020-00616-8",

language = "English (US)",

volume = "21",

pages = "2787--2806",

journal = "Journal of Evolution Equations",

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TY - JOUR

T1 - High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

AU - Constantin, Peter

AU - Wu, Jiahong

AU - Zhao, Jiefeng

AU - Zhu, Yi

PY - 2021/9

Y1 - 2021/9

N2 - We give a small data global well-posedness result for an incompressible Oldroyd-B model with wave-number dissipation in the equation of stress tensor. The result is uniform in solvent Reynolds numbers and requires only fractional wave number-dependent dissipation (- Δ) β, β≥12 in the added stress.

AB - We give a small data global well-posedness result for an incompressible Oldroyd-B model with wave-number dissipation in the equation of stress tensor. The result is uniform in solvent Reynolds numbers and requires only fractional wave number-dependent dissipation (- Δ) β, β≥12 in the added stress.

KW - Complex fluid

KW - Dissipation

KW - Global existence

KW - Nonlinear stability

KW - Oldroyd-B

KW - Reynolds number

KW - Weissenberg number

UR - https://www.scopus.com/pages/publications/85090315271

UR - https://www.scopus.com/inward/citedby.url?scp=85090315271&partnerID=8YFLogxK

U2 - 10.1007/s00028-020-00616-8

DO - 10.1007/s00028-020-00616-8

M3 - Article

AN - SCOPUS:85090315271

SN - 1424-3199

VL - 21

SP - 2787

EP - 2806

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 3

ER -

High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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