• Large Shear Rate Behaviour for...

Treffer: Large Shear Rate Behaviour for the Hébraud-Lequeux Model

Title:
Large Shear Rate Behaviour for the Hébraud-Lequeux Model
Authors:
Olivier, Julien
Contributors:
Archimedes Center for Modelling, Analysis and Computation (ACMAC), University of Crete [Heraklion] (UOC)
Source:
Science in China Series A: Mathematics. 55(2):435-452
Publisher Information:
HAL CCSD; Springer Verlag, 2012.
Publication Year:
2012
Collection:
collection:TDS-MACS
Subject Terms:
Limite singulière, rhéologie complexe, modèle cinétique, MSC 35C20,76A05, [MATH.MATH-AP]Mathematics [math], Analysis of PDEs [math.AP], [MATH.MATH-MP]Mathematics [math], Mathematical Physics [math-ph]
Original Identifier:
HAL: hal-00650780
Document Type:
Zeitschrift article<br />Journal articles
Language:
English
ISSN:
1006-9283
1862-2763
Relation:
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11425-011-4350-2
DOI:
10.1007/s11425-011-4350-2
Access URL:
https://hal.science/hal-00650780
https://hal.science/hal-00650780v1/document
https://hal.science/hal-00650780v1/file/proc_preprint.pdf
Rights:
info:eu-repo/semantics/OpenAccess
Accession Number:
edshal.hal.00650780v1
Database:
HAL

Weitere Informationen

The Hébraud-Lequeux model is a model describing the flow of soft glassy material in a simple shear flow configuration. It is given by a kinetic/Fokker-Planck type of equation whose coefficients depend on the shear rate of the experiment. In this paper we want to study what happens to the stationary solutions of this model when the shear rate is asymptotically large. In order to that, we expand the solution of the equation using singular perturbation tools. In the end, we rigorously prove the estimate of Hébraud and Lequeux that the material asymptotically behaves as a Newtonian fluid.