Calculus of Variations and Geometric Measure Theory

M. Zoppello - H. Shum - M. Morandotti

Controllability and kinetic limit of spherical particles immersed in a viscous fluid

created by morandott on 13 Aug 2026

[BibTeX]

Proceedings

Inserted: 13 aug 2026
Last Updated: 13 aug 2026

Journal: Modeling, Analysis, and Control of Multi-Agent Systems Across Scales Proceedings of the Workshop Held at the Centro De Giorgi, Pisa, 22-26 January 2024
Pages: 79-99
Year: 2026
Doi: 10.4171/ECR/23/13

ArXiv: 2410.16793 PDF
Links: link to contribution

Abstract:

This paper deals with systems of spherical particles immersed in a viscous fluid. Two aspects are studied, namely the controllability of such systems, with particular attention to the case of one active particle and either one or two passive ones, and the kinetic limit of such systems as the number of particles diverges. The former issue is tackled in the framework of geometric control theory, whereas the latter resorts to Boltzmann-type formulations of the system of interacting particles.