• Corpus ID: 246634838

Local mass-conserving solution for a critical Coagulation-Fragmentation equation

  title={Local mass-conserving solution for a critical Coagulation-Fragmentation equation},
  author={Hung V. Tran and Truong-Son Van},
. The critical coagulation-fragmentation equation with multiplicative coagulation and constant fragmentation kernels is known to not have global mass-conserving solutions when the initial mass is greater than 1. We show that for any given positive initial mass with finite second moment, there is a time T ∗ > 0 such that the equation possesses a unique mass-conserving solution up to T ∗ . The novel idea is to singularly perturb the constant fragmentation kernel by small additive terms and study… 


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