Burnett, J; Vassiliev, D; (2012) MODELLING THE ELECTRON WITH COSSERAT ELASTICITY. MATHEMATIKA , 58 (2) 349 - 370. 10.1112/S002557931200006X.
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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.
|Title:||MODELLING THE ELECTRON WITH COSSERAT ELASTICITY|
|Open access status:||An open access version is available from UCL Discovery|
|Additional information:||© 2012 Cambridge University Press|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
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