Abstract
In this paper we show that the rotating elastic beam model proposed by Baillieul and Levi has an inertial manifold which is linear. We emphasize that the spectrum of the linear dissipative part of the model equations does not satisfy the gap condition.
Supported in part by grants from the National Science Foundation and Air Force Office of Scientific Research and by a Seed Grant from Ohio State University.
Supported in part by AFOSR and NSF Grant DMS 8915672, and by the University of California-Irvine Graduate Council Funds.
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Bloch, A.M., Titi, E.S. (1991). On The Dynamics of Rotating Elastic Beams. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_15
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_15
Publisher Name: Birkhäuser, Boston, MA
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