Mathematical analysis of the stabilization of lamellar phases by a shear stress
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- 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 (2010): 239-267. <http://eudml.org/doc/90620>.
@article{Torri2010,
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.; global solution; energy estimates; local existence},
language = {eng},
month = {3},
pages = {239-267},
publisher = {EDP Sciences},
title = { Mathematical analysis of the stabilization of lamellar phases by a shear stress },
url = {http://eudml.org/doc/90620},
volume = {7},
year = {2010},
}
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
DA - 2010/3//
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.; global solution; energy estimates; local existence
UR - http://eudml.org/doc/90620
ER -
References
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