# American Institute of Mathematical Sciences

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January  2018, 23(1): 13-27. doi: 10.3934/dcdsb.2018002

## Self-similar solutions of fragmentation equations revisited

 Institute of Mathematics, University of Silesia, 40-007 Katowice, Poland

* Corresponding author: Marta Tyran-Kamińska

Received  October 2016 Published  January 2018

Fund Project: This research was supported by the Polish NCN grant No. 2014/13/B/ST1/00224

We study the large time behaviour of the mass (size) of particles described by the fragmentation equation with homogeneous breakup kernel. We give necessary and sufficient conditions for the convergence of solutions to the unique self-similar solution.

Citation: Weronika Biedrzycka, Marta Tyran-Kamińska. Self-similar solutions of fragmentation equations revisited. Discrete & Continuous Dynamical Systems - B, 2018, 23 (1) : 13-27. doi: 10.3934/dcdsb.2018002
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