We propose a novel and general variational framework modelling particle
adsorption mechanisms on evolving immiscible fluid interfaces. A by-product
of our thermodynamic approach is that we systematically obtain analytic
adsorption isotherms for given equilibrium interfacial geometries. We validate
computationally our mathematical methodology by demonstrating the fundamental
properties of decreasing interfacial free energies by increasing interfacial
particle densities and of decreasing surface pressure with increasing
surface area.