Logarithmic decay of the energy for an hyperbolic-parabolic coupled system
ESAIM: Control, Optimisation and Calculus of Variations (2011)
- Volume: 17, Issue: 3, page 801-835
- ISSN: 1292-8119
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topFathallah, Ines Kamoun. "Logarithmic decay of the energy for an hyperbolic-parabolic coupled system." ESAIM: Control, Optimisation and Calculus of Variations 17.3 (2011): 801-835. <http://eudml.org/doc/221905>.
@article{Fathallah2011,
abstract = {
This paper is devoted to the study of a coupled system which consists of
a wave equation and a heat equation coupled through a transmission condition
along a steady interface. This system is a linearized model for
fluid-structure interaction introduced by Rauch, Zhang and Zuazua
for a simple transmission condition and by Zhang and Zuazua for a
natural transmission condition.
Using an abstract theorem of Burq and a new Carleman estimate proved near the interface, we
complete the results obtained by Zhang and Zuazua and by Duyckaerts.
We prove, without a Geometric Control Condition, a logarithmic decay
of the energy.
},
author = {Fathallah, Ines Kamoun},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Fluid-structure interaction; wave-heat
model; stability; logarithmic decay; fluid-structure interaction; wave-heat model},
language = {eng},
month = {8},
number = {3},
pages = {801-835},
publisher = {EDP Sciences},
title = {Logarithmic decay of the energy for an hyperbolic-parabolic coupled system},
url = {http://eudml.org/doc/221905},
volume = {17},
year = {2011},
}
TY - JOUR
AU - Fathallah, Ines Kamoun
TI - Logarithmic decay of the energy for an hyperbolic-parabolic coupled system
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2011/8//
PB - EDP Sciences
VL - 17
IS - 3
SP - 801
EP - 835
AB -
This paper is devoted to the study of a coupled system which consists of
a wave equation and a heat equation coupled through a transmission condition
along a steady interface. This system is a linearized model for
fluid-structure interaction introduced by Rauch, Zhang and Zuazua
for a simple transmission condition and by Zhang and Zuazua for a
natural transmission condition.
Using an abstract theorem of Burq and a new Carleman estimate proved near the interface, we
complete the results obtained by Zhang and Zuazua and by Duyckaerts.
We prove, without a Geometric Control Condition, a logarithmic decay
of the energy.
LA - eng
KW - Fluid-structure interaction; wave-heat
model; stability; logarithmic decay; fluid-structure interaction; wave-heat model
UR - http://eudml.org/doc/221905
ER -
References
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