A note on the regularity of flows with shear-dependent viscosity

Nadir Arada

doi:10.1016/j.na.2012.04.040

A note on the regularity of flows with shear-dependent viscosity

Nadir Arada

DM - Departamento de Matemática

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

5 Citations (Scopus)

Abstract

We consider a non-Newtonian fluid governed by stationary, incompressible Navier-Stokes equations with shear-dependent viscosity. Using a fixed point argument in an appropriate functional setting, we establish the existence of a strong solution for small and suitably regular data. Uniqueness results are obtained under similar conditions

Original language	Unknown
Pages (from-to)	5401-5415
Journal	Nonlinear Analysis-Theory Methods & Applications
Volume	75
Issue number	14
DOIs	https://doi.org/10.1016/j.na.2012.04.040
Publication status	Published - 1 Jan 2012

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10.1016/j.na.2012.04.040

Cite this

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title = "A note on the regularity of flows with shear-dependent viscosity",

abstract = "We consider a non-Newtonian fluid governed by stationary, incompressible Navier-Stokes equations with shear-dependent viscosity. Using a fixed point argument in an appropriate functional setting, we establish the existence of a strong solution for small and suitably regular data. Uniqueness results are obtained under similar conditions",

keywords = "Strong solution, Generalized Newtonian fluid, Shear-dependent viscosity",

author = "Nadir Arada",

year = "2012",

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AB - We consider a non-Newtonian fluid governed by stationary, incompressible Navier-Stokes equations with shear-dependent viscosity. Using a fixed point argument in an appropriate functional setting, we establish the existence of a strong solution for small and suitably regular data. Uniqueness results are obtained under similar conditions

KW - Strong solution

KW - Generalized Newtonian fluid

KW - Shear-dependent viscosity

U2 - 10.1016/j.na.2012.04.040

DO - 10.1016/j.na.2012.04.040

M3 - Article

SN - 0362-546X

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SP - 5401

EP - 5415

JO - Nonlinear Analysis-Theory Methods & Applications

JF - Nonlinear Analysis-Theory Methods & Applications

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