Instantaneous gelation in coagulation dynamics
نویسندگان
چکیده
The formation of a distribution of cluster sizes is a common feature in a wide variety of situations. Examples include astrophysics, atmospheric physics and polymer science, [2, 3, 8]. In this paper we discuss some mathematical aspects of the Smoluchowski coagulation equation which is a model for the dynamics of cluster growth. This model involves a coupled infinite system of ordinary differential equations for cj ≥ 0, the expected number of clusters consisting of j−particle clusters per unit of volume. The equations are
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