Exponential Stability for a Transmission Problem with Locally Indirect Stabilization

Authors

Carlos A. Raposo, Department of Mathematics and Statistics, Federal University of S?ao Jo?ao del-Rey, 36307-352, Minas Gerais, Brasil\\ Federal University of Bahia, Salvador, 40170-110, Bahia, Brasil.Follow
Manoel J. Santos, Faculty of Exact Sciences and Technology, Federal University of Par´a, Abaetetuba, 68440-000, Par´a, BrazilFollow

Author Country (or Countries)

Brasil.

Abstract

In this manuscript we consider the transmission problem, in one space dimension, for linear dissipative waves with locally indirect stabilization. We study the wave propagation in a medium with a component with attrition and another being 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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130104

Recommended Citation

A. Raposo, Carlos and J. Santos, Manoel (2019) "Exponential Stability for a Transmission Problem with Locally Indirect Stabilization," Applied Mathematics & Information Sciences: Vol. 13: Iss. 1, Article 4.
DOI: http://dx.doi.org/10.18576/amis/130104
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss1/4