Geodesic
Transmission problem for waves with frictional damping
Electronic journal of differential equations, Tome 2007 (2007)
In this paper we consider the transmission problem, in one space dimension, for linear dissipative waves with frictional damping. We study the wave propagation in a medium with a component with attrition and another simply elastic. We show that for this type of material, the dissipation produced by the frictional part is strong enough to produce exponential decay of the solution, no matter how small is its size.
Classification : 35B35, 35B40, 35L05, 35L20
Keywords: exponential stability, dissipative system, transmission problem 
@article{EJDE_2007__2007__a2,
     author = {Bastos,  Waldemar D. and Raposo,  Carlos A.},
     title = {Transmission problem for waves with frictional damping},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1136.35315},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a2/}
}
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AU  - Raposo,  Carlos A.
TI  - Transmission problem for waves with frictional damping
JO  - Electronic journal of differential equations
PY  - 2007
VL  - 2007
UR  - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a2/
LA  - en
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%A Raposo,  Carlos A.
%T Transmission problem for waves with frictional damping
%J Electronic journal of differential equations
%D 2007
%V 2007
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a2/
%G en
%F EJDE_2007__2007__a2
Bastos,  Waldemar D.; Raposo,  Carlos A. Transmission problem for waves with frictional damping. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a2/