Uniqueness of post-gelation solutions of a class of coagulation equations

Abstract : We prove well-posedness of global solutions for a class of coagulation equations which exhibit the gelation phase transition. To this end, we solve an associated partial differential equation involving the generating functions before and after the phase transition. Applications include the classical Smoluchowski and Flory equations with multiplicative coagulation rate and the recently introduced symmetric model with limited aggregations. For the latter, we compute the limiting concentrations and we relate them to random graph models.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00471238
Contributor : Raoul Normand <>
Submitted on : Wednesday, April 7, 2010 - 4:46:58 PM
Last modification on : Tuesday, January 14, 2020 - 10:42:39 AM

Links full text

Identifiers

  • HAL Id : hal-00471238, version 1
  • ARXIV : 1002.0702

Citation

Raoul Normand, Lorenzo Zambotti. Uniqueness of post-gelation solutions of a class of coagulation equations. 2010. ⟨hal-00471238⟩

Share

Metrics

Record views

196