We review our recent contributions to anisotropic soft matter models for liquid crystal
interfaces, drops and membranes, emphasizing validations with experimental and biological …

Abstract The Young-Laplace, Kelvin, and Gibbs-Thomson equations form a cornerstone of
colloidal and surface sciences and have found successful applications in many subfields of …

Oscillating shape motion of a freely falling and bouncing water droplet has long fascinated
and inspired scientists. We propose dynamic non-linear equations for closed, two …

Capillary condensation, which takes place in confined geometries, is the first-order vapor-to-
liquid phase transition and is explained by the Kelvin equation, but the equation's …

We have developed dynamic manifold solutions for the Navier-Stokes equations using an
extension of differential geometry called the calculus for moving surfaces. Specifically, we …