Taiwanese Journal of Mathematics

Well-posedness and Attractors for a Memory-type Thermoelastic Timoshenko Beam Acting on Shear Force

Soh Edwin Mukiawa and Cyril Dennis Enyi

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Abstract

In this paper, we study the large time behavior of a thermoelastic Timoshenko system with memory effects where the thermoelastic coupling is acting on shear force instead of the bending moment. We establish the existence of finite-dimensional global attractor and an exponential attractor.

Article information

Source
Taiwanese J. Math., Advance publication (2019), 26 pages.

Dates
First available in Project Euclid: 2 December 2019

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1575255740

Digital Object Identifier
doi:10.11650/tjm/191106

Subjects
Primary: 35B35: Stability 35B40: Asymptotic behavior of solutions 37L05: General theory, nonlinear semigroups, evolution equations 37L30: Attractors and their dimensions, Lyapunov exponents

Keywords
global attractor exponential attractor Timoshenko system thermoelasticity

Citation

Mukiawa, Soh Edwin; Enyi, Cyril Dennis. Well-posedness and Attractors for a Memory-type Thermoelastic Timoshenko Beam Acting on Shear Force. Taiwanese J. Math., advance publication, 2 December 2019. doi:10.11650/tjm/191106. https://projecteuclid.org/euclid.twjm/1575255740


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References

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