A note on mass-conserving solutions to the coagulation-fragmentation\n equation by using non-conservative approximation

2018/02/22 by Prasanta Kumar Barik, Barik, Prasanta Kumar, Ankik Kumar Giri +1
Environmental Science · Mathematics · #34K30 #45G99 #45K05 #Analysis of PDEs (math.AP) #Coagulation and Flocculation Studies #FOS: Mathematics #Mathematical Biology Tumor Growth #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1802.08038

openalex publication_date 2018/02/22 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In general, the non-conservative approximation of coagulation-fragmentation\nequations (CFEs) may lead to the occurrence of gelation phenomenon. In this\narticle, it is shown that the non-conservative approximation of CFEs can also\nprovide the existence of mass conserving solutions to CFEs for large classes of\nunbounded coagulation and fragmentation kernels.\n

Related

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• Gelation in coagulation and multiple fragmentation equation with a class\n of singular rates