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 topics in mathematical physics, stochastic processes and differential equations, as well as to physicists working in the area of statistical mechanics and kinetic theory.
Author(s): Gonçalves, Patrícia, Soares, Ana Jacinta (Eds.)
Series: Springer Proceedings in Mathematics & Statistics 258
Publisher: Springer
Year: 2018
Language: English
Pages: VII, 167
Front Matter ....Pages i-vii
Linear Boltzmann Equations: A Gradient Flow Formulation (Giada Basile)....Pages 1-12
Navier–Stokes Hydrodynamic Limit of BGK Kinetic Equations for an Inert Mixture of Polyatomic Gases (Marzia Bisi, Giampiero Spiga)....Pages 13-31
Quantization of Probability Densities: A Gradient Flow Approach (François Golse)....Pages 33-52
Semi-Lagrangian Approximation of BGK Models for Inert and Reactive Gas Mixtures (M. Groppi, G. Russo, G. Stracquadanio)....Pages 53-80
Hydrostatic Limit and Fick’s Law for the Symmetric Exclusion with Long Jumps (Byron Jiménez Oviedo, Arthur Vavasseur)....Pages 81-104
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
Porous Medium Model in Contact with Slow Reservoirs (Renato de Paula, Patrícia Gonçalves, Adriana Neumann)....Pages 123-147
On the Fibonacci Universality Classes in Nonlinear Fluctuating Hydrodynamics (G. M. Schütz)....Pages 149-167
