On a Quasilinear Coagulation-fragmentation Model with Diiusion
نویسنده
چکیده
We consider a system of a very large number of particles of very diierent sizes, suspended in a carrier uid. These particles move due to diiusion and superimposed transport processes, merge to form larger clusters, or fragment into smaller ones. In the present paper a mathematical model for such processes is derived, consisting of an innnite quasilinear reaction-diiusion system, coupled to the Navier Stokes equations for the motion of the suspension. We prove the well-posedness of this problem, derive a positivity result, and show that the total mass of the suspended particles is conserved.
منابع مشابه
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