| Contents |
| We present some results on the basic existence, uniqueness, regularity and long-time behaviour of solutions to a system
of differential equations modelling ``cluster eating''. The equations, one version of which can be written as
\[\frac{dc_j}{dt} = \sum_{k=1}^{\infty}a_{j+k,k}c_{j+k}c_k - c_j\sum_{k=1}^{\infty}c_k,\;\;\;\; j\in \mathbf{N},\]
were introduced in the late 1980s but only recently have been subject to a more detailed study.
Connections with other models of cluster equations will be discussed. |
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