Abstract

This paper is concerned with the modeling and analysis of the interaction between particles and fluids in particular regarding fragmentation processes. We simplify the model by assuming that the particles are constituted of spheres jointed by springs. Then the aim is to deduce the terms appearing in the Navier–Stokes-type equations for the fluid and the counterpart influence in the Boltzmann system for the particles. The resulting coupled system is analyzed by means of a refined averaging lemma.

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