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References (8)
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- Publisher
- Springer Journals
- Copyright
- Copyright © 2001 by Sociedade Brasileira de Matemática
- Subject
- Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/BF01233669
- Publisher site
- See Article on Publisher Site
Abstract
A one-dimensional version of the so-called Marguerre-Vlasov system of equations describing the vibrations of shallow shells is considered. The system depends on a parameter ∈→0 in a singular way and undergoes the effect of damping mechanisms. We show that the system converges to a nonlinear beam equation while the energy decays exponentially uniformly (on ∈→0) as time goes to infinity.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Feb 11, 2005