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- Title
Analiticity of the Type III Thermoelastic Euler Bernoulli Model with Tip.
- Authors
Ávalos, Gerardo Gómez; Muñoz Rivera, Jaime; Ochoa Ochoa, Elena
- Abstract
We consider the thermoelastic model following the type III theory for the Euler Bernoulli beam equation with tip. We prove that the corresponding semigroup is analytic. In particular, this implies: the smoothing effect over the initial data, the exponential stability of the semigroup and that the rate of decay of the semigroup is equal to the spectral bound of its generator (linear stability property).
- Subjects
BERNOULLI equation; EXPONENTIAL stability; EULER equations
- Publication
Acta Applicandae Mathematicae, 2022, Vol 182, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-022-00543-5