Global solutions for some oldroyd models of non-newtonian flows

P. L. Lions; N. Masmoudi

doi:10.1007/bf02484187

Global solutions for some oldroyd models of non-newtonian flows

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Abstract

The authors consider here some Oldroyd models of non-Newtonian flows consisting of a strong coupling between incompressible Navier-Stokes equations and some transport equations. It is proved that there exist global weak solutions for general initial conditions. The existence proof relies upon showing the propagation in time of the compactness of solutions.

Original language	English (US)
Pages (from-to)	131-146
Number of pages	16
Journal	Chinese Annals of Mathematics. Series B
Volume	21
Issue number	2
DOIs	https://doi.org/10.1007/bf02484187
State	Published - 2000

Keywords

Global solution
Non-newtonian flow
Oldroyd model

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1007/bf02484187

Cite this

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abstract = "The authors consider here some Oldroyd models of non-Newtonian flows consisting of a strong coupling between incompressible Navier-Stokes equations and some transport equations. It is proved that there exist global weak solutions for general initial conditions. The existence proof relies upon showing the propagation in time of the compactness of solutions.",

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author = "Lions, {P. L.} and N. Masmoudi",

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AB - The authors consider here some Oldroyd models of non-Newtonian flows consisting of a strong coupling between incompressible Navier-Stokes equations and some transport equations. It is proved that there exist global weak solutions for general initial conditions. The existence proof relies upon showing the propagation in time of the compactness of solutions.

KW - Global solution

KW - Non-newtonian flow

KW - Oldroyd model

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ER -

Global solutions for some oldroyd models of non-newtonian flows

Abstract

Keywords

ASJC Scopus subject areas

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