From Particle Systems to Partial Differential Equations

1. Front Matter

   Pages i-vii

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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

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.

• interacting particle systems
• partial differential equations
• kinetic theory
• stochastic analysis
• modelling

• 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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