From Kinetic Theory to Turbulence Modeling

The book collects relevant contributions presented at a conference, organized in honour of Carlo Cercignani, that took place at Politecnico di Milano on May 2428, 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.

Provides a broad overview of recent developments in kinetic theory and turbulence modeling Covers a vast array of applications of kinetic theory to different problems in fluid dynamics Includes an in-depth discussion on the Einstein classical program

Inhalt
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.