Abstract:
In this work, we investigate a thermoelastic shear beam model with thermal
dissipation. We prove a well-posedness result using the Faedo-Galerkin
method and establish exponential stability through the multiplier method.
Our results improve the stability findings for certain thermoelastic
Timoshenko-type systems as we do not require any relationship between the
wave speeds, since our system has only one wave speed. Finally, we
present some numerical experiments to illustrate our theoretical findings.
Key Words: Shear beam model, well-posedness,
multiplier method, exponential stability, Faedo-Galerkin method.
2020 Mathematics Subject Classification: Primary
35B40, 65N12, 74F05, 74K99.
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