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Spaces of Measures and their Applications to Structured Population Models.
・ISBN 978-1-316-51910-3 hard GB£ 120.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-009-00477-0
| 著者・編者 | Duell, Christian / Gwiazda, Piotr / Marciniak-Czochra, Anna / Skrzeczkowski, Jakub, |
|---|---|
| シリーズ | Cambridge Monographs on Applied and Computational Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2021 |
| ページ数 | 300 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8187＞ |
解説
Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research.