Accès libre

An Asymptotic Preserving Scheme for Kinetic Models for Chemotaxis Phenomena

Communications in Applied and Industrial Mathematics's Cover Image
Communications in Applied and Industrial Mathematics
Special Issue on Mathematical modelling for complex systems: multi-agents methods. Guest Editor: Elena De Angelis
À propos de cet article

Citez

In this paper, we propose a numerical approach to solve a kinetic model of chemotaxis phenomena. This scheme is shown to be uniformly stable with respect to the small parameter, consistent with the uid-di usion limit (Keller-Segel model). Our approach is based on the micro-macro decomposition which leads to an equivalent formulation of the kinetic model that couples a kinetic equation with macroscopic ones. This method is validated by various test cases and compared to other standard methods.

eISSN:
2038-0909
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, Numerical and Computational Mathematics, Applied Mathematics