Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024423 | Nonlinear Analysis: Real World Applications | 2017 | 25 Pages |
Abstract
In this paper, we consider an interaction system in which a wave and a viscoelastic wave equation evolve in two bounded domains, with natural transmission conditions at a common interface. We show the lack of uniform decay of solutions in general domains. The method is based on the construction of ray-like solutions by means of geometric optics expansions and a careful analysis of the transfer of the energy at the interface.
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Authors
Qiong Zhang,