The Discrete Unbounded Coagulation-Fragmentation Equation with Growth,\n Decay and Sedimentation

2018/08/31 by Jacek Banasiak, Banasiak, Jacek, Luke Oluwaseye Joel +3
Mathematics · #34G20 #47D05 #47H07 #47H14 #47H20 #65J15 #70F45 #82D #92D25 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Biology Tumor Growth #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1809.00046

openalex publication_date 2018/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the discrete coagulation--fragmentation models with\ngrowth, decay and sedimentation. We demonstrate the existence and uniqueness of\nclassical global solutions provided the linear processes are sufficiently\nstrong. This paper extends several previous results both by considering a more\ngeneral model and and also signnificantly weakening the assumptions.\nTheoretical conclusions are supported by numerical simulations.\n

Related

• Global solutions of continuous coagulation-fragmentation equations with unbounded coefficients
• Stationary solutions to coagulation-fragmentation equations
• The continuous coagulation and nonlinear multiple fragmentation equation
• Mass-conserving solutions to coagulation-fragmentation equations with non-integrable fragment distribution function
• Gelation in coagulation and multiple fragmentation equation with a class\n of singular rates