图书简介
The book collects relevant contributions presented at a conference, organized in honour of Carlo Cercignani, that took place at Politecnico di Milano on May 24–28, 2021.Different research areas characterizing the scientific work of Carlo Cercignani have been considered with a particular focus on: mathematical and numerical methods for kinetic equations; kinetic modelling of gas mixtures and polyatomic gases; applications of the Boltzmann equation to electron transport, social phenomena and epidemic spread; turbulence modelling; the Einstein Classical Program; Dynamical Systems Theory.
Preface.- 1 L. Galgani (Introduction), The ’divertissements’ of Carlo Cercignani.- 2 A. Abba’ and L. Valdettaro (Abba’), Tensorial turbulent viscosity model for LES: properties and applications.- 3 G. Benettin and A. Ponno (Benettin) FPU model and Toda model: A survey, a view.- 4 N. Bernhoff (Bernhoff), Half-space problems for the Boltzmann equation of multicomponent mixtures.- 5 M. Bisi and R. Travaglini (Bisi), BGK model for a mixture with two reversible reactions.- 6 A. Bobylev (Bobylev), On a class of self-similar solutions of the Boltzmann equation.- 7 A. Carati and L. Galgani (Carati einstein), The Einstein classical program, the Wheeler-Feynman reabsorption and Kirchhoff’s law.- 8 A. Carati, M. Zuin, E. Martines and L. Galgani (Carati plasma), Reabsorption and density limit in magnetized plasmas through a first-principles toy model.- 9 A. Fezzotti and H. Struchtrup (Frezzotti), Kinetic effects in non-ideal, two-phase shear flows.- 10 F. Gangemi, R. Gangemi, A. Carati and L. Galgani (Gangemi), The Cercignani conjecture about a classical zero-point energy, and its confirmation for ionic crystals.- 11 M. Germano (Germano), Turbulence without fluctuations.- 12 S. Kosuge and K. Aoki (Aoki), An ellipsoidal-statistical (ES) model for a polyatomic gas with temperature-dependent specific heats.- 13 M. Lenci (Lenci), Discrete-and continuous-time random walks in 1D Levy random medium.- 14 M. Lulli, L. Biferale, G. Falcucci, M. Sbragaglia and X. Shan (Lulli), Mesoscale modelling of the Tolman length in multi-component systems.- 15 A. Medaglia and M. Zanella (Zanella), Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations.- 16 G. Nastasi and V. Romano (Nastasi), Electron transport in graphene nanoribbons.- 17 M. Pirner and S. Warnecke (Pirner), A review on a general multi-species BGK model: modelling, theory and numerics.- 18 M. Righi (Righi), Gas-kinetic methods for turbulent flow.- 19 S. Succi, F. Bonaccorso, M. Durve, M. Lauricella, A. Montessori and A. Tiribocchi (Succi), Density functional kinetic theory for soft matter.- 20 G. Toscani (Toscani), A multi-agent description of social phenomena with lognormal equilibria.- 21 A. Tsimpoukis, N. Vasileiadis, G. Tatsios and D. Valougeorgis (Tsimpoukis), Oscillatory rarefied gas flows in long capillaries.
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