English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we investigate the direct and indirect stability of locallycoupled wave equations with local viscous damping on cylindrical andnon-regular domains without any geometric control condition. If only oneequation is damped, we prove that the energy of our system decays polynomiallywith the rate $t^{-\frac{1}{2}}$ if the two waves have the same speed ofpropagation, and with rate $t^{-\frac{1}{3}}$ if the two waves do not propagateat the same speed. Otherwise, in case of two damped equations, we prove apolynomial energy decay rate of order $t^{-1}$.

Stabilization of coupled wave equations with viscous damping on cylindrical and non-regular domains: Cases without the geometric control condition