From Particle Systems to Partial Differential Equations

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.

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

Inhalt
Giada Basile, Linear Boltzmann equations: a gradient flow formulation.- Marzia Bisi and Giampiero Spiga, NavierStokes hydrodynamic limit of BGK kinetic equations for an inert mixture of polyatomic gases.- Franc¸ois Golse, Quantization of Probability Densities: a Gradient Flow Approach.- Renato de Paula, Patrcia Goncalves and Adriana Neumann, Porous medium model in contact with slow reservoirs.- M. Groppi, G. Russo, and G. Stracquadanio, Semi-Lagrangian approximation of BGK models for inert and reactive gas mixtures.- G.M. Sch¨utz, On the Fibonacci universality classes in nonlinear fluctuating hydrodynamics.- Denize Kalempa, Adriano W. Silva, Ana Jacinta Soares, Hydrodynamic analysis of sound wave propagation in a reactive mixture confined between two parallel plates.- Byron Jimenez Oviedo, Arthur Vavasseur, Hydrostatic limit and Fick's law for the symmetric exclusion with long jumps.