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Nonlinearity in fluid resonances

Abstract:

This paper reviews the simplest mathematical theories that have been advanced to describe the effects of nonlinearity on fluid resonance in two paradigm situations, namely gas oscillating in a container and water sloshing in a tank. These configurations illustrate what can happen when nonlinearity competes with geometrical asymmetry, dispersion or various kinds of damping in limiting the resonant response. In all situations the qualitative form of the response depends crucially on whether or ...

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Publication status:
Published

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Publisher copy:
10.1023/A:1013911407811

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
MECCANICA
Volume:
36
Issue:
3
Pages:
297-321
Publication date:
2001-01-01
DOI:
ISSN:
0025-6455
URN:
uuid:40a3c936-32b2-4a96-9428-65489b776bb2
Source identifiers:
8890
Local pid:
pubs:8890

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