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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.

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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.

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