Transmission problem for waves with frictional damping
Date
2007-04-22
Authors
Bastos, Waldemar D.
Raposo, Carlos Alberto
Journal Title
Journal ISSN
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.
Rights
Attribution 4.0 International