We summarize the general formalism describing surface flows in three–dimensional space in a form which is suitable for various astrophysical applications. We then apply the formalism to the analysis of non–radial perturbations of self–gravitating spherical fluid shells. Spherically symmetric gravitating shells (or bubbles) have been used in numerous model problems especially in general relativi...

This paper introduces Precomputed Radiance Transfer (PRT) to shell textures in the context of rendering microgeometry. PRT is a method which allows static objects to have global illumination effects such as self shadowing and soft shadows while being rendered in real-time. This is done by representing the object’s spherical ’light transfer function,’ which captures how the object translates irr...

A well known result from the non-linear theory of elasticity applied to spherical shells is that classical Mooney-Rivlin constitutive law may give either a monotonic or non-monotonic pressure-inflation response for finite deformation. Specifically, this determined by two factors: relative shell thickness, and $I_{1}$ $I_{2}$ contribution in M-R law. Here we consider how residual stress field af...