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From Particle Systems to Partial Differential Equations

PSPDE V, Braga, Portugal, November 2016

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Patrícia Gonçalves

    1. Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, University of Lisbon, Lisbon, Portugal

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  2. Ana Jacinta Soares

    1. Center of Mathematics, University of Minho, Braga, Portugal

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    You can also search for this editor in PubMed   Google Scholar

  • Introductory papers on the subjects of the conference
  • General and complete (not technical) presentation of some subjects
  • Explanations of topics in detail
  • Emphasis on the connection between different areas of mathematics

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 258)

Included in the following conference series:

Conference proceedings info: PSPDE 2016.

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Table of contents (8 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Linear Boltzmann Equations: A Gradient Flow Formulation

    • Giada Basile
    Pages 1-12

  3. Navier–Stokes Hydrodynamic Limit of BGK Kinetic Equations for an Inert Mixture of Polyatomic Gases

    • Marzia Bisi, Giampiero Spiga
    Pages 13-31

  4. Quantization of Probability Densities: A Gradient Flow Approach

    • François Golse
    Pages 33-52

  5. Semi-Lagrangian Approximation of BGK Models for Inert and Reactive Gas Mixtures

    • M. Groppi, G. Russo, G. Stracquadanio
    Pages 53-80

  6. Hydrostatic Limit and Fick’s Law for the Symmetric Exclusion with Long Jumps

    • Byron Jiménez Oviedo, Arthur Vavasseur
    Pages 81-104

  7. Hydrodynamic Analysis of Sound Wave Propagation in a Reactive Mixture Confined Between Two Parallel Plates

    • Denize Kalempa, Adriano W. Silva, Ana Jacinta Soares
    Pages 105-122

  8. Porous Medium Model in Contact with Slow Reservoirs

    • Renato de Paula, Patrícia Gonçalves, Adriana Neumann
    Pages 123-147

  9. On the Fibonacci Universality Classes in Nonlinear Fluctuating Hydrodynamics

    • G. M. Schütz
    Pages 149-167
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  1. From Particle Systems to Partial Differential Equations

Keywords

About this book

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology.
 
The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations.
 
The book appeals to probabilists, analysts and also to mathematicians in general whose work focuses on topicsin mathematical physics, stochastic processes and differential equations, as well as to physicists working in the area of statistical mechanics and kinetic theory.





Editors and Affiliations

  • Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, University of Lisbon, Lisbon, Portugal

    Patrícia Gonçalves

  • Center of Mathematics, University of Minho, Braga, Portugal

    Ana Jacinta Soares

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