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A uniqueness theorem for the coagulation-fragmentation equation

Published online by Cambridge University Press:  24 October 2008

I. W. Stewart
I. W. Stewart
Affiliation:
Mathematics Department, Heriot-Watt University, Riccarton, Edinburgh EH14 4AS
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Extract

This paper presents a uniqueness result for solutions to the general nonlinear coagulation-fragmentation equation

where

Equation (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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 3 , May 1990 , pp. 573 - 578
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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