9783745099799 - Kinetic and Related Macroscopic Models for Chemotaxis on Networks: Dissertationsschrift von Pham, Thi Ngoc Ha (3 Ergebnisse)

Paperback. Zustand: Brand New. 126 pages. 8.27x5.83x0.30 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This thesis considers kinetic and associated macroscopic models for chemotaxis on networks. By scaling and then applying moment-closure methods (including linear and nonlinear full- and half-moment methods) to the kinetic equations, we obtain full- and half-moment macroscopic models for chemotaxis as well as their drift-diffusion limit (Keller-Segel equations). Coupling conditions at the internal nodes of the network for the kinetic equations are presented and used to derive coupling conditions for the macroscopic approximations. The results of the different models are compared and relations to a Keller-Segel model on networks are discussed. For numerical approximations of the governing equations, asymptotic preserving schemes and central schemes are extended to directed graphs. Kinetic and macroscopic equations are investigated numerically and their solutions are compared for linear, tripod and more general networks.

Taschenbuch. Zustand: Neu. Kinetic and Related Macroscopic Models for Chemotaxis on Networks | Dissertationsschrift | Thi Ngoc Ha Pham | Taschenbuch | 128 S. | Englisch | 2017 | epubli | EAN 9783745099799 | Verantwortliche Person für die EU: Neopubli GmbH, Sebastian Stude, Köpenicker Str. 154a, 10997 Berlin, produktsicherheit[at]epubli[dot]com | Anbieter: preigu.