Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
Araruna FD, Braz E Silva P, Zuazua E (2010)
Publication Type: Journal article
Publication year: 2010
Journal
Book Volume: 23
Pages Range: 414-430
Journal Issue: 3
DOI: 10.1007/s11424-010-0137-8
Abstract
This paper shows how the so called von Karman model can be obtained as a singular limit of a modified Mindlin-Timoshenko system when the modulus of elasticity in shear k tends to infinity, provided a regularizing term through a fourth order dispersive operator is added. Introducing damping mechanisms, the authors also show that the energy of solutions for this modified Mindlin-Timoshenko system decays exponentially, uniformly with respect to the parameter k. As k -> a, the authors obtain the damped von Karman model with associated energy exponentially decaying to zero as well.
Authors with CRIS profile
Involved external institutions
Universidade Federal da Paraíba
Brazil (BR)
Federal University of Pernambuco / Universidade Federal de Pernambuco
Brazil (BR)
Basque Center of Applied Mathematics (BCAM)
Spain (ES)
Brazil (BR)
Federal University of Pernambuco / Universidade Federal de Pernambuco
Brazil (BR)
Basque Center of Applied Mathematics (BCAM)
Spain (ES)
How to cite
APA:
Araruna, F.D., Braz E Silva, P., & Zuazua, E. (2010). Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system. Journal of Systems Science & Complexity, 23(3), 414-430. https://dx.doi.org/10.1007/s11424-010-0137-8
MLA:
Araruna, F. D., Pablo Braz E Silva, and Enrique Zuazua. "Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system." Journal of Systems Science & Complexity 23.3 (2010): 414-430.
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