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Mathematical analysis of the stabilizationof lamellar phasesby a shear stress

Published online by Cambridge University Press:  15 September 2002

V. Torri
V. Torri*
Affiliation:
Mathématiques Appliquées de Bordeaux, Université de Bordeaux 1 et UMR 5466 du CNRS, 351 cours de la Libération, 33405 Talence Cedex, France; torri@math.u-bordeaux.fr.
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Abstract

We consider a 2D mathematical model describing the motion of asolution of surfactants submitted to a high shear stress in aCouette-Taylor system. We are interested in a stabilization processobtained thanks to the shear. We prove that, if the shear stress islarge enough, there exists global in time solution for smallinitial data and that the solution of the linearized system (controlled by a nonconstant parameter) tendsto 0 as t goes to infinity. Thisexplains rigorously some experiments.

Keywords

Stabilizationshear stressCouette systemglobal solution.

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 7 , 2002 , pp. 239 - 267
Copyright
© EDP Sciences, SMAI, 2002

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