WIAS Preprint No. 404, (1998)

Singular behaviour of finite approximations to the addition model



Authors

  • Laurencot, Philippe

2010 Mathematics Subject Classification

  • 82C22 34A34

Keywords

  • Addition model, coagulation, non-existence

Abstract

Instantaneous gelation in the addition model with superlinear rate coefficients is investigated. The conjectured post-gelation solution is shown to arise naturally as the limit of solutions to some finite approximations as the number of equations grows to infinity. Non-existence of continuous solutions to the addition model is also established in that case.

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