Gelation and Mass Conservation in Coagulation-fragmentation Models

  title={Gelation and Mass Conservation in Coagulation-fragmentation Models},
  author={Miguel Escobedo and Ph. Laurençot and S. Mischler and Benoit Perthame},
The occurrence of gelation and the existence of mass-conserving solutions to the continuous coagulation-fragmentation equation are investigated under various assumptions on the coagulation and fragmentation rates, thereby completing the already known results. A non-uniqueness result is also established and a connection to the modified coagulation model of Flory is also made. 
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Post-gelation solutions to Smoluchowski’s coagulation equation

  • T. A. Bak, O. Heilmann
  • J. Phys. A 27
  • 1994
Highly Influential
20 Excerpts


  • P. B. Dubovskǐı, I. W. Stewart
  • uniqueness and mass conservation for the…
  • 1996
Highly Influential
5 Excerpts

A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels

  • I. W. Stewart
  • Math. Methods Appl. Sci. 11
  • 1989
Highly Influential
4 Excerpts

On a non-uniqueness in fragmentation models

  • J. Banasiak
  • Math. Methods Appl. Sci. 25
  • 2002
1 Excerpt

The Lifshitz-Slyozov equation with encounters, Math

  • Ph. Laurençot
  • Models Methods Appl. Sci
  • 2001

On a class of continuous coagulation-fragmentation models

  • Ph. Laurençot
  • J. Differential Equations
  • 2000

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