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Instantaneous gelation in coagulation dynamics

Abstract

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

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Keywords

  • Mathematical Method
  • Large Cluster
  • Rate Coefficient
  • Binary Interaction
  • Cluster Growth