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- W2980861858 abstract "We consider coagulation equations of Smoluchowski or Flory type where the total merge rate has a bilinear form $pi(y)cdot Api(x)$ for a vector of conserved quantities $pi$, generalising the multiplicative kernel. For these kernels, a gelation transition occurs at a finite time $t_mathrm{g}in (0,infty)$, which can be given exactly in terms of an eigenvalue problem in finite dimensions. We prove a hydrodynamic limit for a stochastic coagulant, including a corresponding phase transition for the largest particle, and exploit a coupling to random graphs to extend analysis of the limiting process beyond the gelation time." @default.
- W2980861858 created "2019-10-25" @default.
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- W2980861858 date "2019-02-20" @default.
- W2980861858 modified "2023-09-27" @default.
- W2980861858 title "Bilinear Coagulation Equations" @default.
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