# Mathematical analysis of the stabilization of lamellar phases by a shear stress

ESAIM: Control, Optimisation and Calculus of Variations (2002)

- Volume: 7, page 239-267
- ISSN: 1292-8119

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topTorri, V.. "Mathematical analysis of the stabilization of lamellar phases by a shear stress." ESAIM: Control, Optimisation and Calculus of Variations 7 (2002): 239-267. <http://eudml.org/doc/245326>.

@article{Torri2002,

abstract = {We consider a 2D mathematical model describing the motion of a solution of surfactants submitted to a high shear stress in a Couette$-$Taylor system. We are interested in a stabilization process obtained thanks to the shear. We prove that, if the shear stress is large enough, there exists global in time solution for small initial data and that the solution of the linearized system (controlled by a nonconstant parameter) tends to 0 as $t$ goes to infinity. This explains rigorously some experiments.},

author = {Torri, V.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {stabilization; shear stress; Couette system; global solution; energy estimates; local existence},

language = {eng},

pages = {239-267},

publisher = {EDP-Sciences},

title = {Mathematical analysis of the stabilization of lamellar phases by a shear stress},

url = {http://eudml.org/doc/245326},

volume = {7},

year = {2002},

}

TY - JOUR

AU - Torri, V.

TI - Mathematical analysis of the stabilization of lamellar phases by a shear stress

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2002

PB - EDP-Sciences

VL - 7

SP - 239

EP - 267

AB - We consider a 2D mathematical model describing the motion of a solution of surfactants submitted to a high shear stress in a Couette$-$Taylor system. We are interested in a stabilization process obtained thanks to the shear. We prove that, if the shear stress is large enough, there exists global in time solution for small initial data and that the solution of the linearized system (controlled by a nonconstant parameter) tends to 0 as $t$ goes to infinity. This explains rigorously some experiments.

LA - eng

KW - stabilization; shear stress; Couette system; global solution; energy estimates; local existence

UR - http://eudml.org/doc/245326

ER -

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