Bose, S. K. ; Gorain, G. C. (1998) Stability of the boundary stabilised internally damped wave equation y" + λy"'= c2(Δy +μΔy') in a bounded domain in Rn Indian Journal of Mathematics, 40 . pp. 1-15. ISSN 0019-5324
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Abstract
The boundary stabilisation of the problem satisfying the differential equation y"+λy"' = c2(Δy +μΔy'), 0 < λ < μ, in a bounded domain Ω in Rn with smooth boundary Γ is studied. Such equations arise in the vibrations of flexible structures possessing internal material damping and modeled by the "Standard linear model" of viscoelasticity.Exponential energy decay rate is obtained for the solution of the above problem subject to mixed boundary conditions.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Scientific Publishers. |
| ID Code: | 73839 |
| Deposited On: | 07 Dec 2011 12:49 |
| Last Modified: | 07 Dec 2011 12:49 |
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