2025/09/01 by Prasanta Kumar Barik, Barik, Prasanta K., Fernando Pestana da Costa +5 · 1 citation
Environmental Science · Mathematics · Medicine · #Analysis of PDEs (math.AP) #Coagulation and Flocculation Studies #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models
paper · pdf · doi:10.48550/arxiv.2509.01316
openalex publication_date 2025/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we discuss the continuous version of the generalized exchange-driven growth model which is a variant of the coagulation model in which a smaller size particle is detached from a bigger one and merges with another particle. This new model is a continuous extension of the generalized exchange-driven growth model originally formulated in a discrete context [4]. In this work, we examine the existence of weak solutions to the continuous version of the generalized exchange-driven growth model under a suitable reaction rate. Under an additional condition on the reaction rates, a uniqueness result is established. Finally, we prove that solutions satisfy the mass-conserving property and the conservation of the total number of particles for coagulation rates with linear bounds.