Transmission problem for waves with frictional damping

Date

2007-04-22

Authors

Bastos, Waldemar D.
Raposo, Carlos Alberto

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

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.

Description

Keywords

Exponential stability, Dissipative system, Transmission problem

Citation

Bastos, W. D., & Raposo, C. A. (2007). Transmission problem for waves with frictional damping. <i>Electronic Journal of Differential Equations, 2007</i>(60), pp. 1-10.

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Attribution 4.0 International

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