Waldemar D. Bastos, Carlos A. Raposo
Abstract:
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.
Submitted June 23, 2006. Published April 22, 2007.
Math Subject Classifications: 35B35, 35B40, 35L05, 35L20.
Key Words: Exponential stability; dissipative system; transmission problem.
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Waldemar D. Bastos Universidade Estadual Paulista - UNESP Departamento de Matemática 15054-000 - São José do Rio Preto - SP, Brazil email: waldemar@ibilce.unesp.br |
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Carlos A. Raposo Universidade Federal de São João del-Rei - UFSJ Departamento de Matemática 36300-000 - São João del-Rei, MG, Brazil email: raposo@ufsj.edu.br |
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