In this article we propose models and a numerical method for pattern formation on evolving curved surfaces. We formulate reaction-diffusion equations on evolving surfaces using the material transport formula, surface gradients and diffusive conservation laws. The evolution of the surface is defined by a material surface velocity. The numerical method is based on the evolving surface finite elem...

The current study examined the effect of empathy on friendship quality in the context of dyadic same-sex friendships, and how such an effect might be mediated by interpersonal competence. A special version of the actor-partner interdependence model (APIM) was used to examine this hypothesis in 146 same-sex friend dyads in 10th grade. Results showed that empathy was positively related to intimac...