Solution stationnaire de l'équation de coagulation de gouttelettes en chute avec le vent horizontal

Abstract

We consider the equation which describes the coagulation process of water drops which fall in the air. The equation is considered in a two-dimensional domain and the density of water drops entering the domain is supposed to be given. Under the hypothesis of the constancy of the horizontal wind and some suitable conditions, we prove the existence and the uniqueness of the stationary solution.