On the uniqueness for coagulation and multiple fragmentation equation

Ankik Kumar Giri

doi:10.3934/krm.2013.6.589

Article Contents

2013, Volume 6, Issue 3: 589-599. Doi: 10.3934/krm.2013.6.589

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On the uniqueness for coagulation and multiple fragmentation equation

Ankik Kumar Giri^1,

1.
Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstrasse 69, A-4040 Linz

Received: January 2013

Revised: March 2013

Published: September 2013

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Abstract

In this article, the uniqueness of weak solutions to the continuous coagulation and multiple fragmentation equation is proved for a large range of unbounded coagulation and multiple fragmentation kernels. The multiple fragmentation kernels may have a singularity at origin. This work generalizes the preceding ones, by including some physically relevant coagulation and fragmentation kernels which were not considered before.

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Mathematics Subject Classification: Primary: 45J05, 45K05; Secondary: 34A34, 45G10.

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