Vibration of an elastic plate under action of an incompressible fluid in case of N = 0 approximation of I. Vekua's hierarchical models

Abstract

This article deals with the study of the interaction between an elastic plate with constant thickness and an incompressible fluid when the plate is approximated by the N = 0 order term of Vekua's hierarchical model.

§Dedicated to Professor Wei Lin on the occasion of his 70th birthday.

Keywords:

• Hierarchical models
• Plates
• Incompressible fluid
• Interaction problem

Keywords:

• MSC 2000: 74F10
• 74H45
• 74K20
• 35Q72

Acknowledgment

The authors are very grateful to Prof. G. Jaiani for his useful discussions. The research described in this publication was made possible in part by Award No. GTFP-11 of the Georgian Research and Development Foundation (GRDF) and the U.S. Civilian Research & Development Foundation for the Independent States of the Former Soviet Union (CRDF).

Notes

§Dedicated to Professor Wei Lin on the occasion of his 70th birthday.