Calculus of Variations and Geometric Measure Theory
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P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK - A. K. Giri

A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation

created by barik on 23 Aug 2018
modified by barik1 on 10 Jan 2019



Inserted: 23 aug 2018
Last Updated: 10 jan 2019

Journal: Kinetic and Related Models
Volume: 11
Number: 5
Pages: 1125-1138
Year: 2018

ArXiv: 1802.08038 PDF
Links: Existence of Mass-conserving solutions to the continuous Coagulation-fragmentation models is discussed.


In general, the non-conservative approximation of coagulation-fragmentation equations (CFEs) may lead to the occurrence of gelation phenomenon. In this article, it is shown that the non-conservative approximation of CFEs can also provide the existence of mass conserving solutions to CFEs for large classes of unbounded coagulation and fragmentation kernels.

Keywords: Particles, coagulation, fragmentation, mass conserving solution, existence.

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