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- Title
Stability for Euler-Bernoulli Beam Equation with a Local Degenerated Kelvin-Voigt Damping.
- Authors
Hassine, Fathi
- Abstract
We consider the Euler-Bernoulli beam equation with a local Kelvin-Voigt dissipation type in the interval (− 1 , 1) . The coefficient damping is only effective in (0 , 1) and is degenerating near the 0 point with a speed at least equal to x α where α ∈ (0 , 5) . We prove that the semigroup corresponding to the system is polynomially stable and the decay rate depends on the degeneracy speed α . Here we develop a new method which consists to use a local analysis approach combined with the classical iterative method.
- Subjects
EQUATIONS; SPEED
- Publication
Acta Applicandae Mathematicae, 2023, Vol 184, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-023-00559-5