Sur les équations de conservation

Abstract

We consider the conservation equation of water drops describing the coagulation process of water drops falling in the air with a speed determined by the gravitational force, the friction between these droplets and the air as well as the speed of the air. It represents the transport equation of water droplets as well as growth of droplets by condensation in the atmosphere in the presence of a vertical ascending wind. The principal result is the existence of a stationary solution of the equation in a one-dimensional domain, and under some suitable hypotheses.