The mathematics of deformable surfaces covers a wide range of mathematical ideas and techniques and has applications in all kinds of surfaces, from textile fabrics to sheet metal. Deformable Surfaces is a collection of papers, presented at a recent Institute of Mathematics and its Applications conference, covering different aspects of the mathematics behind changes in surfaces (metals, materials, water) as a result of physical forces.

1: Modelling Deforming Surfaces.
2: Modelling axisymmetric thin shells with LF-splines.
3: Approaches to modelling the mechanical properties of fabrics and the representation of fabrics as flexible surfaces using differential geometry.
4: The complex buckling of textile fabrics.
5: Stability of steep unsteady water waves.
6: Deforming surfaces and viscous sintering.
7: The Deformation of Notional Surfaces:.
8: Contour dynamics/surgery.
9: Stretching of line and surface elements in random velocity fields.
10: Moving surfaces in turbulent flows.
11: Techniques for Analysing Deforming Interfaces:.
12: Fourier descriptions for measuring bubble motion and deformation.
13: Extraction of spatial statistics from experimentally visualised cross-sections of a turbulent flame.
14: Geometrical observations of turbulent density interfaces.

David G. Dritschel, University of Cambridge. R. J. Perkins, Ecole Centrale de Lyon.

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