Uniqueness for the coagulation-fragmentation equation with strong fragmentation
✍ Scribed by Ankik Kumar Giri; Gerald Warnecke
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 226 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0044-2275
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## Abstract A non‐linear integro‐differential equation modelling coagulation and fragmentation is investigated using the theory of strongly continuous semigroups of operators. Under the assumptions that the coagulation kernel is bounded and the overall rate of fragmentation satisfies a linear growt
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 lin
For a linear coagulation kernel and a constant fragmentation kernel we prove the existence of equilibrium solutions and examine asymptotic properties for time-dependent solutions which are proved to converge to the equilibria. The rate of the convergence is estimated. It is shown also that all time-