1. THE MULTI-DIMENSIONAL COAGULATION-FRAGMENTATION MODEL WITH UNBOUNDED KERNEL.
- Author
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GHOSH, D., PAUL, J., KUMAR, J., and YAO, J.-C.
- Subjects
ENTHALPY ,POROSITY ,ENGINEERING - Abstract
The study of the coagulation-fragmentation model has provided insights into various engineering and scientific disciplines. However, the characteristics of particle ensembles are determined by multiple parameters in a multidimensional parameter space, including mass, volume, porosity, binder content, enthalpy, mole number, and more. This work focuses on establishing the existence of a continuous solution for the higher dimensional model, subject to certain restrictions on the kernels. Additionally, the conservation of volume of the solution are investigated. The results are derived based on the compactness result of Arzelà-Ascoli and the Banach contraction mapping principle. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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