title: Collisions, rebounds and skimming.
abstract: Repeated oblique impacts and rebounds of a solid body or bodies on horizontal shallow water are investigated through mathematical modelling. The inclinations from the horizontal are supposed small as the skimming evolves, for a thin typical body shape. The new formulation aimed at improved prediction as well as the background involved is presented together with nonlinear analysis and computation. Comparatively fast or slow collisions and rebounds are found to be of special interest over short time-scales.
authors.affiliation: Department of Mathematics, UCL, Gower Street, London WC1E 6BT, UK f.smith@ucl.ac.uk.
authors.forename: Kevin
authors.initials: K
authors.lastname: Liu
authors.affiliation: Department of Mathematics, UCL, Gower Street, London WC1E 6BT, UK.
authors.forename: Frank T
authors.initials: FT
authors.lastname: Smith
keywords: body; bounces; fluid; mathematical modelling; skimming