Recent Advances in Kinetic Equations and Applications

图书简介

The volume covers most of the topics addressed and discussed during the Workshop INdAM ’Recent advances in kinetic equations and applications’, which took place in Rome (Italy), from November 11th to November 15th, 2019. The volume contains results on kinetic equations for reactive and nonreactive mixtures and on collisional and noncollisional Vlasov equations for plasmas. Some contributions are devoted to the study of phase transition phenomena, kinetic problems with nontrivial boundary conditions and hierarchies of models. The book, addressed to researchers interested in the mathematical and numerical study of kinetic equations, provides an overview of recent advances in the field and future research directions.

1 A. Arnold et al., Sharpening of decay rates in Fourier based hypocoercivity methods.- 2 L. Barletti et al., Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction.- 3 M. Bisi and R. Travaglini, A kinetic BGK relaxation model for a reacting mixture of polyatomic gases.- 4 Y. Cao and C. Kim, On Some Recent Progress in the Vlasov-Poisson-Boltzmann System with Diffuse Reflection Boundary.- 5 G. Cavallaro, The Vlasov equation with infinite mass.- 6 F. Charles, Mathematical and numerical study of a dusty Knudsen gas mixture: extension to non-spherical dust particles.- 7 A. Frouvelle, Body-attitude alignment: first order phase transition, link with rodlike polymers through quaternions, and stability.- 8 F. Golse, The Half-Space Problem for the Boltzmann Equation with Phase Transition at the Boundary.- 9 M. Griffin-Pickering and M. Iacobelli, Recent developments on quasineutral limits for Vlasov-type equations.- 10 J. Jang and C. Kim, A note on acoustic limit for the Boltzmann equation.- 11 T. Komorowski and S. Olla, Thermal boundaries in kinetic and hydrodynamic limits.- 12 N. Pouradier Duteil and B. Piccoli, Control of collective dynamics with time-varying weights.- 13 M. Piedade et al., Kinetic modelling of autoimmune diseases.- 14 S. Taguchi and T. Tsuji, A generalized slip-flow theory for a slightly rarefied gas flow induced by discontinuous wall temperature.- 15 S. Takata et al., A revisit to the Cercignani–Lampis model: Langevin picture and its numerical simulation.- 16 E. Zoni and S. Possanner, On the accuracy of gyrokinetic equations in fusion applications.

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Recent Advances in Kinetic Equations and Applications（Springer INdAM Series） 动力学方程及应用的*进展 数学分析

Recent Advances in Kinetic Equations and Applications（Springer INdAM Series）

动力学方程及应用的进展
数学分析*