We consider a discrete set of individual agents interacting with a continuum.
Examples might be a predator facing a huge group of preys, or a few shepherd
dogs driving a herd of sheeps. Analytically, these situations can be described
through a system of ordinary differential equations coupled with a scalar
conservation law in several space dimensions. This paper provides a complete
well posedness theory for the resulting Cauchy problem. A few applications are
considered in detail and numerical integrations are provided
