Abstract: In this talk we will present a model for the coalescence of electrolyte droplets. Electrolytes are incompressible, viscous fluids which carry charge. These fluids inherit several interesting properties from the interplay between inertial, interfacial and electrostatic forces. We will show how a energetically consistent system can be derived from the basic energy by performing systematic variations, discuss a diffuse interface approximation as well as several open mathematical questions and show, time permitting, preliminary numerical simulations of the model. This work is in collaboration with Young Ju Lee.