Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Item added to bagSorry, there was a problem getting your bag informationItem cannot be purchased with the existing contents of your bagItem unavailable online
✕

was added to your bag.

Please try again.

Sorry, this item cannot be purchased in the same transaction as the existing items in your bag.

Please complete the purchase of the items currently in your bag and then add this item in a separate transaction or visit Shopping Help.

Sorry, this product is not currently available to buy online. Please visit Shopping Help.

View bag and checkout
Remove item
✕

Are you sure you want to remove from your bag?

Recommended product

Popular links

Popular links

Spaces of Measures and their Applications to Structured Population Models

All titles
Spaces of Measures and their Applications to Structured Population Models

Spaces of Measures and their Applications to Structured Population Models

Christian Düll, Universität Heidelberg
Piotr Gwiazda, Polska Akademia Nauk (PAN), Warsaw
Anna Marciniak-Czochra, Universität Heidelberg
Jakub Skrzeczkowski, Uniwersytet Warszawski, Poland
October 2021
Hardback
9781316519103
£114.00
GBP
Hardback
USD
eBook
    Description

    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.

    • Includes appendices providing any necessary background material and collects results from various fields in one place
    • Covers results concerning the functional analytic properties of spaces of measures, previously scattered over many papers using different notations
    • Presents current trends and problems in the theory, allowing young researchers to jump quickly into research

    Product details

    September 2021
    Adobe eBook Reader
    9781009020473
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Often bought together

    An Introduction to Variational Inequalities and Their Applications
    An Introduction to Variational Inequalities and Their Applications

    : Paperback

    Partial Differential Equations in Classical Mathematical Physics
    Partial Differential Equations in Classical Mathematical Physics

    : Paperback

    Often bought together

    This title is available for institutional purchase via Cambridge Core

    Learn more
    cambridge core banner

    Related Journals

    Journal of the Institute of Mathematics of Jussieu
    Journal of the Institute of Mathematics of Jussieu

    : Journal

    Journal of the Institute of Mathematics of Jussieu covers all domains in pure mathematics.

    European Journal of Applied Mathematics
    European Journal of Applied Mathematics

    : Journal

    Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines.Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.

    Ergodic Theory and Dynamical Systems
    Ergodic Theory and Dynamical Systems

    : Journal

    Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field. The journal acts as a forum for central problems of dynamical systems and of interactions of dynamical systems with areas such as differential geometry, number theory, operator algebras, celestial and statistical mechanics, and biology.

    The ANZIAM Journal
    The ANZIAM Journal

    : Journal

    The ANZIAM Journal considers papers in any field of applied mathematics and related mathematical sciences with the aim of rapid publication in print and electronic formats. Novel applications of mathematics in real situations are especially welcomed. All papers should include some indication of applicability, and an introduction that can be understood by non-specialist readers from the whole applied mathematical community.

    Related Journals

    Also by this Author

    Contents

    Table of Contents

    • 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.
      • Show more
    Courses
    Resources
    Additional Information
    About the authors
      Authors
    • Christian Düll , Universität Heidelberg

      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.

    • Piotr Gwiazda , Polska Akademia Nauk (PAN), Warsaw

      Piotr Gwiazda is Professor at the Institute of Mathematics of the Polish Academy of Sciences and Head of the Department of Differential Equations. His fields of research include the topics of weak, renormalized and measure-valued solutions to nonlinear PDEs, with a focus on PDEs arising from fluid and solid mechanics as well as mathematical biology.

    • Anna Marciniak-Czochra , Universität Heidelberg

      Anna Marciniak-Czochra is Professor of Applied Mathematics at Heidelberg University and Head of the research group 'Applied Analysis and Modelling in Biosciences' at the Institute of Applied Mathematics (IAM), Interdisciplinary Center of Scientific Computing (IWR) and BIOQUANT Center, Heidelberg University. She is the deputy director of the IAM and a member of the Board of the European Society for Theoretical and Mathematical Biology (ESMTB). Her interdisciplinary expertise lies in the areas of applied mathematics and mathematical and computational biosciences.

    • Jakub Skrzeczkowski , Uniwersytet Warszawski, Poland

      Jakub Skrzeczkowski researches at the University of Warsaw under the supervision of Piotr Gwiazda. His work deals with measure solutions of structured population models, singular limits in reaction-diffusion systems and parabolic PDEs in a non-standard growth setting.

    Browse by related subject

     
    ✕

    Sorry, this item cannot be purchased in the same transaction as the existing items in your cart.

    Please complete the purchase of the items currently in your cart and then add this item in a separate transaction or contact

    Customer Services