Christian Dull (Universitat Heidelberg), Piotr Gwiazda (Polska Akademia Nauk (PAN) Warsaw ), Anna Marciniak-Czochra (Universitat Heidelberg)

Spaces of Measures and their Applications to Structured Population Models

• Gebundenes Buch

Produktbeschreibung

Structured population models can be used to describe processes such as infection transmission, cell growth and traffic flows. This book introduces the mathematical underpinnings of these applications, providing a unified framework for the study (numerical and analytic) of transport equations, and collecting results from various fields in one place.

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Produktdetails

• Cambridge Monographs on Applied and Computational Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 322
• Erscheinungstermin: 7. Oktober 2021
• Englisch
• Abmessung: 235mm x 157mm x 24mm
• Gewicht: 628g
• ISBN-13: 9781316519103
• ISBN-10: 1316519104
• Artikelnr.: 62214920

Autorenporträt

Christian Düll is a member of the research team of Anna Marciniak-Czochra at Heidelberg University. He works with structured population models in a measure setting and optimal transport problems.

Inhaltsangabe

Notation
Introduction
1. Analytical setting
2. Structured population models on state space R+
3. Structured population models on proper spaces
4. Numerical methods for structured population models
5. Recent developments and future perspectives
Appendix A. Topology, compactness and proper spaces
Appendix B. Functional analysis
Appendix C. Bounded Lipschitz and Hölder functions
Appendix D. Results on approximation with polynomials
Appendix E. Differential geometry
Appendix F. Measure theory
Appendix G. Weaker topologies on spaces of measures
Appendix H. The Bochner integral
Appendix I. Semigroups
Appendix J. Supplement to Chapter 2
Appendix K. Technical proofs from Chapter 3
References
Index.