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MODELLING THE ELECTRON WITH COSSERAT ELASTICITY

Burnett, J; Vassiliev, D; (2012) MODELLING THE ELECTRON WITH COSSERAT ELASTICITY. MATHEMATIKA , 58 (2) 349 - 370. 10.1112/S002557931200006X. Green open access

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Abstract

Interactions between a finite number of bodies and the surrounding fluid, in a channel for instance, are investigated theoretically. In the planar model here the bodies or modelled grains are thin solid bodies free to move in a nearly parallel formation within a quasi-inviscid fluid. The investigation involves numerical and analytical studies and comparisons. The three main features that appear are a linear instability about a state of uniform motion, a clashing of the bodies (or of a body with a side wall) within a finite scaled time when nonlinear interaction takes effect, and a continuum-limit description of the body–fluid interaction holding for the case of many bodies.

Type: Article
Title: MODELLING THE ELECTRON WITH COSSERAT ELASTICITY
Open access status: An open access version is available from UCL Discovery
DOI: 10.1112/S002557931200006X
Language: English
Additional information: © 2012 Cambridge University Press
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences
UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/106377
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