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Existence of mass conserving solution for the coagulation–fragmentation equation with singular kernel

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Abstract

In this article, we investigate the existence of a solution to the initial value problem associated to a singular coagulation–fragmentation equation. We analyze the problem with singular coagulation kernel and multiple fragmentation kernel. It is also shown that the solution satisfies the mass conservation law.

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Acknowledgements

The authors are truly thankful to the anonymous reviewers for providing insightful comments that improved the readability of the article.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, 721302, India

    Debdulal Ghosh & Jitendra Kumar

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  1. Debdulal Ghosh
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  2. Jitendra Kumar
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Correspondence to Debdulal Ghosh.

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Ghosh, D., Kumar, J. Existence of mass conserving solution for the coagulation–fragmentation equation with singular kernel. Japan J. Indust. Appl. Math. 35, 1283–1302 (2018). https://doi.org/10.1007/s13160-018-0327-7

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  • DOI: https://doi.org/10.1007/s13160-018-0327-7

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