A uniqueness theorem for the coagulation-fragmentation equation
- 1 March 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 107 (3) , 573-578
- https://doi.org/10.1017/s0305004100068821
Abstract
This paper presents a uniqueness result for solutions to the general nonlinear coagulation-fragmentation equationwhereEquation (1·1) has many applications in the applied sciences (cf. [1, 3, 8, 13, 15]) and a brief physical interpretation can be found in Melzak [12] or the survey article by Drake[7]. c(x, t), for x ≥ 0, t ≥ 0, denotes the number of particles of size x at time t and the non-negative kernels K and F describe, respectively, the rates at which particles of size x coalesce with those of size y and particles of size (x + y) break-up into those of sizes x and y.Keywords
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