Jacek Banasiak

Jacek Banasiak is a Visiting Professor in the Department of Mathematics and Statistics within the Faculty of Science at the University of Strathclyde, United Kingdom. He is actively engaged in research in mathematical analysis, particularly in the theory of semigroups and its applications to coagulation-fragmentation processes.

His research focuses on coagulation and fragmentation dynamics, semigroup theory, and kinetic models, with applications in population dynamics and engineering mathematics. His work often involves rigorous analysis of integro-differential equations, unbounded operators, and long-term behavior of solutions. He frequently collaborates with Wilson Lamb and other mathematical analysts.

The most recent publications demonstrate sustained contributions to the solvability, compactness, and asymptotic analysis of coagulation-fragmentation equations, particularly under power-law and strong fragmentation regimes. His work bridges pure and applied mathematics, contributing to both theoretical developments and modeling in physical and biological systems.

The following scientific contributions have been recognized through peer-reviewed publications:

• Development of analytic fragmentation semigroups
• Existence and uniqueness results for equations with unbounded rates
• Study of asynchronous exponential growth in discrete and continuous models
• Analysis of mass loss in coagulation-fragmentation systems

Banasiak has advised students and researchers in the field of mathematical modeling, though specific names are not listed in the source material. There is no mention of external grants or funding sources in the provided texts. He is associated with a research group focused on kinetic theory and evolution equations at Strathclyde.