Mathematical analysis of a one-dimensional model for an aging fluid

David Benoit; Lingbing He; Claude Le Bris; Tony Lelièvre; A. Vasseur

doi:10.1142/S0218202513500164

Mathematical analysis of a one-dimensional model for an aging fluid

David Benoit, Lingbing He, Claude Le Bris, Tony Lelièvre, A. Vasseur

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

Abstract

We study mathematically a system of partial differential equations arising in the modeling of an aging fluid, a particular class of non-Newtonian fluids. We prove well-posedness of the equations in appropriate functional spaces and investigate the longtime behavior of the solutions.

Original language	English
Pages (from-to)	1561-1602
Number of pages	42
Journal	Mathematical Models and Methods in Applied Sciences
Volume	23
Issue number	9
DOIs	https://doi.org/10.1142/S0218202513500164
Publication status	Published - 1 Aug 2013

Keywords

Couette flow
Non-Newtonian fluids
longtime behavior

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title = "Mathematical analysis of a one-dimensional model for an aging fluid",

abstract = "We study mathematically a system of partial differential equations arising in the modeling of an aging fluid, a particular class of non-Newtonian fluids. We prove well-posedness of the equations in appropriate functional spaces and investigate the longtime behavior of the solutions.",

keywords = "Couette flow, Non-Newtonian fluids, longtime behavior",

author = "David Benoit and Lingbing He and \{Le Bris\}, Claude and Tony Leli{\`e}vre and A. Vasseur",

year = "2013",

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AU - Benoit, David

AU - He, Lingbing

AU - Le Bris, Claude

AU - Lelièvre, Tony

AU - Vasseur, A.

PY - 2013/8/1

Y1 - 2013/8/1

N2 - We study mathematically a system of partial differential equations arising in the modeling of an aging fluid, a particular class of non-Newtonian fluids. We prove well-posedness of the equations in appropriate functional spaces and investigate the longtime behavior of the solutions.

AB - We study mathematically a system of partial differential equations arising in the modeling of an aging fluid, a particular class of non-Newtonian fluids. We prove well-posedness of the equations in appropriate functional spaces and investigate the longtime behavior of the solutions.

KW - Couette flow

KW - Non-Newtonian fluids

KW - longtime behavior

UR - https://www.scopus.com/pages/publications/84877876008

U2 - 10.1142/S0218202513500164

DO - 10.1142/S0218202513500164

M3 - Article

AN - SCOPUS:84877876008

SN - 0218-2025

VL - 23

SP - 1561

EP - 1602

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

IS - 9

ER -

Mathematical analysis of a one-dimensional model for an aging fluid

Abstract

Keywords

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