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Existence and uniqueness results for the non-autonomous coagulation and multiple-fragmentation equation

✍ Scribed by D. J. McLaughlin; W. Lamb; A. C. McBride

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
154 KB
Volume
21
Category
Article
ISSN
0170-4214

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✦ Synopsis

An initial-value problem modelling coagulation and fragmentation processes is studied. The results of earlier papers are extended to models where either one or both of the rates of coagulation and fragmentation depend on time. An abstract integral equation, involving the solution operator to the linear fragmentation part, is investigated via the contraction mapping principle. A unique global, nonnegative, mass-conserving solution to this abstract equation is shown to exist. The latter solution is used to generate a global, non-negative, mass-conserving solution to the original non-autonomous coagulation and multiple-fragmentation equation.

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