Coagulation & Fragmentation Processes in Structured Population Models

Fragmentation & Coagulations processes can be observed in natural sciences and engineering. To provide just a few examples we mention the study of stellar fragments in astrophysics, rock fracture, degradation of large polymer chains, DNA fragmentation, evolution of phytoplankton aggregates, liquid droplet breakup or breakup of solid drugs in organisms. In this monograph, a general mathematical framework for analyzing evolution equations arizing from fragmentation & coagulation models is provided. We investigate shattering in fragmentation models, develop and extend existing results. We provide global existing results for models with death and growth. In particular we consider nonlocal settings and discuss the dynamics of the phytoplankton biomass.

Autorentext

The author was born on the 27th of December 1976 in Loum, Cameroon. He did his MSc degree at UNISA and completed his PhD degree at the University of KwaZulu Natal in Durban. He has published several papers in top mathematical journals. He is currently working as a Senior Lecturer in the mathematics department of North West University, South Africa.