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Thin vibrating plates: long time existence and convergence to the von Kármán plate equations

✍ Scribed by H. Abels; M.G. Mora; S. Müller

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
93 KB
Volume
34
Category
Article
ISSN
0936-7195

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✦ Synopsis

The asymptotic behavior of the solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness h of the plate tends to zero. We discuss the long time existence and convergence to solutions of the time-dependent von Kármán and linear plate equation under appropriate scalings of the applied force and of the initial values in terms of h .

📜 SIMILAR VOLUMES

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## Abstract This paper derives an improved energy inequality for the non‐linear dynamical von Kármán equations. The existence of global classical solutions is a consequence of this a priori inequality.

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