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From Particle Systems to Partial Differential Equations

International Conference, Particle Systems and PDEs VI, VII and VIII, 2017-2019

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Cédric Bernardin

    1. Laboratoire J.A. Dieudonné, UMR CNRS-UNS, Université Côte d’Azur, Nice Cedex 02, France

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  2. François Golse

    1. Centre de Math. Laurent Schwartz (CMLS), École Polytechnique, CMLS, Palaiseau Cedex, France

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  3. Patrícia Gonçalves

    1. Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

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  4. Valeria Ricci

    1. Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy

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  5. Ana Jacinta Soares

    1. Centro de Matemática, Universidade do Minho, Braga, Portugal

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  • Deals with mathematical problems motivated by different applications in physics, engineering, economics, chemistry, and biology
  • Illustrates methods and topics in the study of particle systems and PDEs and their relation
  • Focuses on topics in mathematical physics, stochastic processes and differential equations, as well as statistical mechanics and kinetic theory

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 352)

Included in the following conference series:

Conference proceedings info: ICPS 2017. ICPS 2018. ICPS 2019.

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Table of contents (18 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Brief Discussion of the \(L^{r}\)-Theory for the Boltzmann Equation: Cutoff and Non-cutoff

    • Ricardo J. Alonso
    Pages 1-14

  3. The Maxwell–Stefan Diffusion Limit of a Hard-Sphere Kinetic Model for Mixtures

    • Benjamin Anwasia
    Pages 15-36

  4. An Asymptotic Preserving Scheme for a Stochastic Linear Kinetic Equation in the Diffusion Regime

    • Nathalie Ayi
    Pages 37-50

  5. Zero-Range Process in Random Environment

    • C. Bahadoran, T. S. Mountford, K. Ravishankar, E. Saada
    Pages 51-77

  6. On Non-equilibrium Fluctuations for the Stirring Process with Births and Deaths

    • Panagiota Birmpa, Patrícia Gonçalves, Dimitrios Tsagkarogiannis
    Pages 79-98

  7. On Existence, Uniqueness and Banach Space Regularity for Solutions of Boltzmann Equations Systems for Monatomic Gas Mixtures

    • Erica de la Canal, Irene M. Gamba, Milana Pavić-Čolić
    Pages 99-121

  8. Hydrodynamics of Weakly Asymmetric Exclusion with Slow Boundary

    • Pedro Capitão, Patrícia Gonçalves
    Pages 123-148

  9. Recent Developments on the Modelling of Cell Interactions in Autoimmune Diseases

    • M. Fernanda P. Costa, M. Piedade M. Ramos, C. Ribeiro, Ana Jacinta Soares
    Pages 149-168

  10. Geometrical Structures of the Instantaneous Current and Their Macroscopic Effects: Vortices and Perspectives in Non-gradient Models

    • Leonardo De Carlo
    Pages 169-193

  11. Porous Medium Model: An Algebraic Perspective and the Fick’s Law

    • Renato De Paula, Chiara Franceschini
    Pages 195-225

  12. Forward Utilities and Mean-Field Games Under Relative Performance Concerns

    • Gonçalo dos Reis, Vadim Platonov
    Pages 227-251

  13. The Boundary Driven Zero-Range Process

    • Susana Frómeta, Ricardo Misturini, Adriana Neumann
    Pages 253-281

  14. Partial Regularity in Time for the Landau Equation (with Coulomb Interaction)

    • François Golse
    Pages 283-300

  15. Recent Developments on the Well-Posedness Theory for Vlasov-Type Equations

    • Megan Griffin-Pickering, Mikaela Iacobelli
    Pages 301-319

  16. Charge-Current Correlation Identities for Stochastic Interacting Particle Systems

    • Dragi Karevski, Gunter M. Schütz
    Pages 321-333

  17. From the Hartree to the Vlasov Dynamics: Conditional Strong Convergence

    • Chiara Saffirio
    Pages 335-354

  18. From the Boltzmann Description for Mixtures to the Maxwell–Stefan Diffusion Equations

    • Francesco Salvarani
    Pages 355-379

  19. Alternative Quantum Formulations and Systems at the Classical-Quantum Border

    • R. Vilela Mendes
    Pages 381-400
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Other volumes

  1. From Particle Systems to Partial Differential Equations

Keywords

About this book

This book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.

Editors and Affiliations

  • Laboratoire J.A. Dieudonné, UMR CNRS-UNS, Université Côte d’Azur, Nice Cedex 02, France

    Cédric Bernardin

  • Centre de Math. Laurent Schwartz (CMLS), École Polytechnique, CMLS, Palaiseau Cedex, France

    François Golse

  • Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

    Patrícia Gonçalves

  • Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy

    Valeria Ricci

  • Centro de Matemática, Universidade do Minho, Braga, Portugal

    Ana Jacinta Soares

Bibliographic Information

  • Book Title: From Particle Systems to Partial Differential Equations

  • Book Subtitle: International Conference, Particle Systems and PDEs VI, VII and VIII, 2017-2019

  • Editors: Cédric Bernardin, François Golse, Patrícia Gonçalves, Valeria Ricci, Ana Jacinta Soares

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-030-69784-6

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-69783-9Published: 31 May 2021

  • Softcover ISBN: 978-3-030-69786-0Published: 01 June 2022

  • eBook ISBN: 978-3-030-69784-6Published: 30 May 2021

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: VIII, 400

  • Number of Illustrations: 5 b/w illustrations, 22 illustrations in colour

  • Topics: Analysis, Applications of Mathematics, Probability Theory and Stochastic Processes

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