Maria Athanassenas

Monash University (Australia)

Recent developments in capillarity

Capillary surfaces (liquid-air or liquid-liquid interfaces) are mathematically modelled as surfaces of prescribed mean curvature. We will discuss two recent papers on compressible liquids, using classical non-linear, elliptic PDE techniques (with R. Finn), and measure-theoretical methods for energy minimisers (joint work with J. Clutterbuck)