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On the modified Enskog equation for elastic and inelastic collisions. Models with spin. (English) Zbl 0850.70141

Summary: Under appropriate assumptions on the collision kernel we prove the existence of global solutions of the Enskog equation with elastic or inelastic collisions. We consider also this equation with spin, that is, the case when the angular velocities of the colliding particles are taken into account. In this case we also prove global existence results.

MSC:

82C40 Kinetic theory of gases in time-dependent statistical mechanics
35Q82 PDEs in connection with statistical mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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