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General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping.
- Source :
-
Computers & Mathematics with Applications . May2017, Vol. 73 Issue 10, p2293-2318. 26p. - Publication Year :
- 2017
-
Abstract
- In this paper, we obtain very general decay rate estimates associated to a wave–wave transmission problem subject to a nonlinear damping locally distributed employing arguments firstly introduced in Lasiecka and Tataru (1993) and we shall present explicit decay rate estimates as considered in Alabau-Boussouira (2005) and Cavalcanti et al. (2007). In addition, we implement a precise and efficient code to study the behavior of the transmission problem when k 1 ≠ k 2 and when one has a nonlinear frictional dissipation g ( u t ) . More precisely, we aim to numerically check the general decay rate estimates of the energy associated to the problem established in first part of the paper. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 73
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 122772156
- Full Text :
- https://doi.org/10.1016/j.camwa.2017.03.012