A kinetic model for droplet coalescence in dense sprays

This paper is devoted to the matematical analysis of a kinetic equation des cribing the process of droplet; coalescence in a spatially homogeneous spra y. In the first part, existence of a positive measure valued solution is pr oved, under very general assumptions on the collision kernel. In the second part, mass conservation and momentum preservation, as well as uniqueness a nd continuous dependence is established, under some more restrictive - but physically reasonable - assumptions on the model. Lastly, the time-asymptot ic behavior of the solution is studied.