The coagulation equations are a model for the dynamics of cluster growth in which clusters can coagulate via binary interactions to form larger clusters. For a certain class of rate coefficients we prove that the density is not conserved on any time interval.
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Dedicated to Klaus Kirchgässner on the occasion of his sixtieth birthday
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Carr, J., da Costa, F.P. Instantaneous gelation in coagulation dynamics. Z. angew. Math. Phys. 43, 974–983 (1992). https://doi.org/10.1007/BF00916423
- Mathematical Method
- Large Cluster
- Rate Coefficient
- Binary Interaction
- Cluster Growth