Explicit solutions to some fragmentation equations with growth or decay
arXiv:2112.06665 · doi:10.1088/1751-8121/ac5fe7
Abstract
In this paper, we provide a systematic way of finding explicit solutions for a class of continuous fragmentation equations with growth or decay in the state space and derive explicit solutions in the cases of constant and linear growth/decay coefficients.
arXiv comment13 figures
References in corpus (5)
- Oscillations in aggregation-shattering processes
- Coagulation-fragmentation model for animal group-size statistics
- Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate
- Self-similar solutions of fragmentation equations revisited
- Growth--fragmentation--coagulation equations with unbounded coagulation kernels