Existence of Gelling Solutions for Coagulation-Fragmentation Equations
โ Scribed by Intae Jeon
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 294 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0010-3616
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๐ SIMILAR VOLUMES
## Abstract A nonโlinear integroโdifferential 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
## Communicated by E. Meister In this article an existence. theorem is proved for the coagulation-fragmentation equation with unbounded kernelratesSolutionsareshown tobeinthespace.X+ = {ceL':S,"(l +x)lc(x)ldx < co} wheneverthe kernels satisfy certain growth propertics and the non-negative initial