Year: 2020
Type: article
Abstract: A global existence theorem on weak solutions is shown for the continuous coagulation equation with collisional breakage under certain classes of unbounded collision kernel and distribution functions. The model describes the dynamics of particle growth when binary collisions occur to form either a single particle via coalescence or two/more particles via breakup with possible transfer of mass. Each of these processes may take place with a suitably assigned probability depending on the volume of particles participating in the collision.
DOI: 10.3934/dcds.2020272
Authors: Prasanta Kumar Barik, Ankik Kumar Giri
Institution: Indian Institute of Technology Roorkee
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2804724601
