The continuous coagulation and nonlinear multiple fragmentation equation

2018/02/22 by Prasanta Kumar Barik, Barik, Prasanta Kumar, Ankik Kumar Giri +1
Environmental Science · Mathematics · #34G20 #34K30 #45K05 #47J35 #Analysis of PDEs (math.AP) #Coagulation and Flocculation Studies #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1802.07969

openalex publication_date 2018/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present paper deals with the existence and uniqueness of global classical solutions to the continuous coagulation and nonlinear multiple fragmentation equations for large classes of unbounded coagulation, collision and breakup kernels. In addition, it is shown that solutions are mass conserving. The coagulation and breakup kernels may have singularities on both the co-ordinate axes whereas the collision kernel grows up to bilinearity.

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