From Particle Systems to Partial Differential Equations III : Particle Systems and PDEs III, Braga, Portugal, December 2014. 1st ed. 2016

種類:

電子ブック

責任表示:

edited by Patrícia Gonçalves, Ana Jacinta Soares

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2016

著者名:

• Gonçalves, Patrícia.
• Soares, Ana Jacinta.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 162

ISBN:

9783319321448 [3319321447]    

注記:

Convergence of Diffusion-Drift Many Particle Systems in Probability under a Sobolev Norm -- Global asymptotic stability of a general nonautonomous Cohen-Grossberg model with unbounded amplification functions -- Modelling of systems with a dispersed phase: “measuring” small sets in the presence of elliptic operators -- From market data to agent-based models and stochastic differential equations -- Entropy dissipation estimates for the Landau equation: General cross sections -- Phase transitions and coarse-graining for a system of particles in the continuum -- Sub–shock formation in reacting gas mixtures -- The gradient flow approach to hydrodynamic limits for the simple exclusion process -- The gradient flow approach to hydrodynamic limits for the simple exclusion process -- Hydrodynamic limit of quantum random walks -- Derivation of the Boltzmann equation: hard spheres, short-range potentials and beyond -- Duality relations for the periodic ASEP conditioned on a low current -- Asymptotics for FBSDES with Jumps a
The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields. It addresses mathematical problems concerning applications in physics, engineering, chemistry and biology that were presented at the Third International Conference on Particle Systems and Partial Differential Equations, held at the University of Minho, Braga, Portugal in December 2014. 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. This book will appeal to probabilists, analysts and those mathematicians whose wor

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