# 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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