A fluid-kinetic model for particulate flows with coagulation and breakup: Stationary solutions, stability, and hydrodynamic regimes

摘要

We consider coupled models for particulate flows, where the disperse phase is made of particles subject to size variations. We are thus led to kinetic equations with coagulation and breakup operators, coupled to fluid mechanics equations. We discuss the existence and stability of stationary solutions. We also derive macroscopic models through asymptotic hydrodynamic regimes, once relevant scaling parameters have been identified.