The stability number of the Timoshenko system with second sound
Copyright policy ) Mauro Santos; D. S. Almeida Júnior; J.E. Muñoz Rivera;
The stability number of the Timoshenko system with second sound
AbstractIn this work, we consider the Timoshenko beam model with second sound. We introduce a new number χ0 that characterizes the exponential decay. We prove that the corresponding semigroup associated to the system is exponentially stable if and only if χ0=0. Otherwise there is a lack of exponential stability. In this case we prove that the semigroup decays as t−1/2. Moreover we show that the rate is optimal.
Optimality, Polynomial stability, Exponential stability, Analysis
Optimality, Polynomial stability, Exponential stability, Analysis
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).141 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 1% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 141
Top 1%
Top 1%
Top 10%
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