Eulerian models with particle pressure for air-particle flows

A hierarchy of Eulerian models for air-particle flows is derived when the particle density is assumed to be constant. The first starting model is a weakly hyperbolic zero-pressure system of conservation laws for the particulate phase. Adding a particle pressure gradient, we obtain a strictly hyperbolic system. The second starting model is a conditionally hyperbolic single-pressure system written in non-conservative form. Considering two...