Active crowds
- This chapter focuses on the mathematical modelling of active particles (or agents) in crowded environments. We discuss several microscopic models found in the literature and the derivation of the respective macroscopic partial differential equations for the particle density. The macroscopic models share common features, such as cross-diffusion or degenerate mobilities. We then take the diversity of macroscopic models to a uniform structure and work out potential similarities and differences. Moreover, we discuss boundary effects and possible applications in life and social sciences. This is complemented by numerical simulations that highlight the effects of different boundary conditions.
| Author: | Maria Bruna, Martin Burger, Jan-Frederik PietschmannORCiDGND, Marie-Therese Wolfram |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/102084 |
| ISBN: | 978-3-030-93302-9OPAC |
| ISBN: | 978-3-030-93301-2OPAC |
| ISSN: | 2164-3679OPAC |
| ISSN: | 2164-3725OPAC |
| Parent Title (English): | Active particles, volume 3: advances in theory, models, and applications |
| Publisher: | Birkhäuser |
| Place of publication: | Cham |
| Editor: | Nicola Bellomo, José Antonio Carrillo, Eitan Tadmor |
| Type: | Part of a Book |
| Language: | English |
| Year of first Publication: | 2022 |
| Release Date: | 2023/02/20 |
| First Page: | 35 |
| Last Page: | 73 |
| Series: | Modeling and Simulation in Science, Engineering and Technology |
| DOI: | https://doi.org/10.1007/978-3-030-93302-9_2 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme |
