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Zbl 1194.74177
Djondjorov, Peter A.; Vassilev, Vassil M.
Symmetries and conservation laws of plates and shells interacting with fluid flow. (English)
[A] Mladenov, Iva\"ilo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3--10, 2004. Sofia: Bulgarian Academy of Sciences. 183-190 (2005). ISBN 954-84952-9-5/pbk

Summary: The present study is concerned with thin isotropic shallow shells interacting with inviscid fluid flow of constant velocity. It is assumed that the dynamic behaviour of the shells is governed by the Marguerre-von Kármán equations. The influence of the fluid flow is taken into account by introducing additional differential and external load terms in the shell equations. It is shown that the system of equations governing such a fluid-structure interaction is equivalent to the von Kármán equations. Thus, the symmetries and conservation laws of the fluid-structure system considered are established.

MSC 2000:: *74K20 Plates
74K25 Shells
35A30 Geometric theory for PDE, transformations

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