From Kinetic Theory to Turbulence Modeling

Paolo Barbante is Researcher of Mathematical Physics at Politecnico di Milano, where he teaches Theoretical Mechanics and Ordinary Differential Equations. He graduated in Aerospace Engineering from Politecnico di Milano (Italy), and obtained the PhD degree from the Université Libre de Bruxelles (Belgium). He is author of research articles mainly in the fields of reacting and multiphase flows and phase transition phenomena.He is a member of the Italian National Group for Mathematical Physics (GNFM-INdAM).Francesco Domenico Belgiorno is Associate Professor of Mathematical Physics at  Politecnico di Milano, where he teaches 'Theoretical Mechanics'. He graduated in Physics and obtained the PhD degree in Physics from the University of Milano. He is author of many research articles in the field of analogue gravity and black hole thermodynamics, thermodynamics formalism, and on quantum field theoryin curved spacetime and in external fields. He is a member of the National Group for Mathematical Physics (GNFM-INdAM) since 2012.  Silvia Lorenzani is Associate Professor of Mathematical Physics at Politecnico di Milano, where she teaches 'Theoretical Mechanics' and 'Methods and Models for Statistical Mechanics'. She graduated from the University of Bologna in both Physics and Mathematics, and obtained the PhD degree from the University of Goettingen. She is author of several research articles mainly in the field of rarefied gas dynamics and microfluidics, but also on turbulence and hydrodynamic instabilities. Since 2003 she is a member of the National Group for Mathematical Physics (GNFM-INdAM) and since 2020 she is an Editorial Board Member of the scientific journal 'Fluids' (published by MDPI). Lorenzo Valdettaro is Associate Professor of Mathematical Physics at Politecnico di Milano, where he teaches Theoretical Mechanics and Computational Fluid Mechanics. He graduated in Physics from the University of Pisa (Italy), and obtained the PhD degree from the University of Toulouse (France). He is author of several research articles mainly in the field of turbulence modeling, numerical simulation of turbulent flows, hydrodynamic instabilities and wave propagation.

• 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.