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• W2116847984 abstract "In this paper we determine the behavior of solutions ck(t) of Smoluchowski's coagulation equation for cluster sizes much larger than the mean cluster size s(t). We consider in general the homogeneous rate constants K(i, j), behaving as K(i, j) ∼ iμjv as j → ∞, where special attention is paid to models with an exponent v = 1. The behavior of ck(t) is studied in three different limits: (i) the short-time limit (t ↓ 0), with k ⪢ 1, (ii) the limit k → ∞, with t > 0 fixed, and (iii) the scaling limit, with k ⪢ s(t). The two most important conclusions of this paper are, first, that the detailed behavior of ck(t) at large cluster sizes (k ⪢ s(t)) may be drastically different for different rate constants K(i, j) and, secondly, that the results for ck(t), obtained in the limits (i), (ii) and (iii), are closely related." @default.
• W2116847984 created "2016-06-24" @default.
• W2116847984 creator A5077163018 @default.
• W2116847984 date "1987-09-01" @default.
• W2116847984 modified "2023-10-17" @default.
• W2116847984 title "Solutions of Smoluchowski's coagulation equation at large cluster sizes" @default.
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• W2116847984 doi "https://doi.org/10.1016/0378-4371(87)90240-8" @default.
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