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Japan Journal of Industrial and Applied Mathematics

, Volume 35, Issue 3, pp 1283–1302 | Cite as

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

  • Debdulal GhoshEmail author
  • Jitendra Kumar
Original Paper Area 1

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.

Keywords

coagulation–fragmentation equation Singular coagulation kernel Multiple fragmentation kernel Existence of solution Mass conservation 

Mathematics Subject Classification

35A01 34A12 

Notes

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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Copyright information

© The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Technology KharagpurKharagpurIndia

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