Asymptotic Behaviour to a Von Kármán System with Internal Damping - Applied Mathematics

AM > Vol.3 No.3, March 2012

Asymptotic Behaviour to a Von Kármán System with Internal Damping ()

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DOI: 10.4236/am.2012.33033 4,421 Downloads 7,629 Views Citations

Author(s)

Ducival C. Pereira, Carlos A. Raposo, Celsa H. M. Maranhão

Affiliation(s)

Departament of Mathematics, Federal University of Pará, UFPA, Belém, Brazil.
Departament of Mathematics, Federal University of S?o Jo?o Del-Rei, UFSJ, S?o Jo?o Del-Rei, Brazil.
Departament of Mathematics, Pará State University, UEPA, Belém, Brazil.

ABSTRACT

In this work we consider the Von Kármán system with internal damping acting on the displacement of the plate and using the Theorem due to Nakao [1] we prove the exponential decay of the solution.

KEYWORDS

Von Kármán System; Internal Damping; Exponential Decay; Theorem of Nakao

Share and Cite:

D. Pereira, C. Raposo and C. Maranhão, "Asymptotic Behaviour to a Von Kármán System with Internal Damping," Applied Mathematics, Vol. 3 No. 3, 2012, pp. 210-212. doi: 10.4236/am.2012.33033.

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