The Mathematics of Deforming Surfaces: Based on the Proceedings of a Conference on the Mathematics and Computation of Deforming Surfaces (Institute of . Applications Conference Series New Series)

The mathematics of deformable surfaces covers a wide range of mathematical ideas and techniques and has applications to all kinds of surfaces from those of textile fabrics, to sheet metal, the deformation of balloons, the shape of water waves and air bubbles in water, the shape of flame fronts and density interfaces in turbulent flows, and the effects of turbulent diffusion. The interesting variety of topics discussed included the following: Le M 'e haut 'e and Correc (France) considered the pressure loading and buckling of cyclindrical sheets, and showed how this can be modelled using LF-splines. Lloyd (UK) showed how the special characteristics of textiles can make it difficult to use conventional Finite Element techniques. Peregrine (Bristol) discusses a surface that is an interface between two regions with different physical properties, so that the shape is determined entirely by dynamical processes within two regions. The main section within the conference were: Modelling Deforming Surfaces, The Deformation of Notional Surfaces, and Techniques for Analysing Deforming Interfaces. This book is intended for research mathematicians and engineers interested in the motion and deformation of surfaces such as changes in the shape of metals and fabrics, the shape of water waves, the effects of turbulent diffusion.