Non-stationary flows of asymptotically Newtonian fluids

Dominic Breit; Bianca Stroffolini; Anna Verde

doi:10.1142/S0219199717500067

Non-stationary flows of asymptotically Newtonian fluids

Dominic Breit^*, Bianca Stroffolini, Anna Verde

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We study nonlinear parabolic Stokes systems with an asymptotically linear structure. This refers to the slow flow of a non-Newtonian fluid with Newtonian behavior for large shear rates. We show that the symmetric gradient of the velocity field is locally bounded in space-time.

Original language	English
Article number	1750006
Journal	Communications in Contemporary Mathematics
Volume	20
Issue number	2
Early online date	26 Jan 2017
DOIs	https://doi.org/10.1142/S0219199717500067
Publication status	Published - Mar 2018

Keywords

generalized Newtonian fluids
linearization at infinity
Non-stationary Stokes problem
regularity
slow flows

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1142/S0219199717500067

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title = "Non-stationary flows of asymptotically Newtonian fluids",

abstract = "We study nonlinear parabolic Stokes systems with an asymptotically linear structure. This refers to the slow flow of a non-Newtonian fluid with Newtonian behavior for large shear rates. We show that the symmetric gradient of the velocity field is locally bounded in space-time.",

keywords = "generalized Newtonian fluids, linearization at infinity, Non-stationary Stokes problem, regularity, slow flows",

author = "Dominic Breit and Bianca Stroffolini and Anna Verde",

year = "2018",

month = mar,

doi = "10.1142/S0219199717500067",

language = "English",

volume = "20",

journal = "Communications in Contemporary Mathematics",

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T1 - Non-stationary flows of asymptotically Newtonian fluids

AU - Breit, Dominic

AU - Stroffolini, Bianca

AU - Verde, Anna

PY - 2018/3

Y1 - 2018/3

N2 - We study nonlinear parabolic Stokes systems with an asymptotically linear structure. This refers to the slow flow of a non-Newtonian fluid with Newtonian behavior for large shear rates. We show that the symmetric gradient of the velocity field is locally bounded in space-time.

AB - We study nonlinear parabolic Stokes systems with an asymptotically linear structure. This refers to the slow flow of a non-Newtonian fluid with Newtonian behavior for large shear rates. We show that the symmetric gradient of the velocity field is locally bounded in space-time.

KW - generalized Newtonian fluids

KW - linearization at infinity

KW - Non-stationary Stokes problem

KW - regularity

KW - slow flows

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U2 - 10.1142/S0219199717500067

DO - 10.1142/S0219199717500067

M3 - Article

AN - SCOPUS:85010858915

SN - 0219-1997

VL - 20

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 2

M1 - 1750006

ER -

Non-stationary flows of asymptotically Newtonian fluids

Abstract

Keywords

ASJC Scopus subject areas

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