Work

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Year: 2026

Type: article

Abstract: ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of ‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more general version of the advection/diffusion–fragmentation problem generates a positive ‐semigroup in spaces where is the particle mass, is the space of either integrable or continuous functions with respect to the spatial variable, and the weight exponent is sufficiently large. These results enable us to prove the classical solvability of a wide range of advection/diffusion–fragmentation–coagulation equations with unbounded coagulation kernels.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70956

Authors: Jacek Banasiak, Nduduzo Majozi

Institutions: Lodz University of Technology, Stellenbosch University, University of Pretoria

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $5,000

Funders: National Research Foundation, Narodowe Centrum Nauki