From Kinetic Theory to Turbulence Modeling: The Legacy of Carlo Cercignani

The book collects relevant contributions presented at a conference in honor of Carlo Cercignani, focusing on mathematical and numerical methods, kinetic modeling, Boltzmann equation applications, turbulence modeling, and Dynamical Systems Theory.

Format: Hardback
Length: 284 pages
Publication date: 30 April 2023
Publisher: Springer Verlag, Singapore

The book serves as a valuable compilation of insightful contributions presented during a conference held in honor of Carlo Cercignani, which took place at Politecnico di Milano from May 24 to 28, 2021. The conference aimed to explore diverse facets of Carlo Cercignani's scientific contributions, with a particular emphasis on several key areas. These areas include:

Mathematical and numerical methods for kinetic equations: This field encompasses the development and application of mathematical techniques to model and solve kinetic equations, which describe the motion of particles or systems. The conference sought to showcase advanced methods and algorithms for solving complex kinetic equations, including those involving multiple particles, chemical reactions, and non-linear dynamics.

Kinetic modelling of gas mixtures and polyatomic gases: Cercignani's work in this area focused on understanding the behavior of complex gas mixtures, including industrial gases, atmospheric gases, and biological gases. The conference explored the use of kinetic modelling techniques to predict the properties of these mixtures, such as their density, viscosity, and thermodynamic properties, and to understand their interactions and reactions.

Applications of the Boltzmann equation to electron transport, social phenomena, and epidemic spread: The Boltzmann equation is a fundamental equation in statistical mechanics that describes the distribution of particles in a system based on their kinetic energy and probability of interaction. Cercignani's research extended the applications of this equation to various fields, including electron transport in molecules, social phenomena, and the spread of epidemics. The conference examined how the Boltzmann equation can be used to model and understand complex systems with multiple interacting agents.

Turbulence modelling: Cercignani's research in turbulence modelling focused on developing and improving methods for simulating the complex flow patterns observed in natural and industrial systems. The conference explored the use of numerical techniques, such as finite difference methods and particle methods, to model turbulence and its effects on various phenomena, such as heat transfer, fluid dynamics, and aerodynamics.

The Einstein Classical Program: Cercignani's work in this area involved developing and applying numerical methods to solve Einstein's equations, which describe the gravitational and electromagnetic interactions of matter. The conference examined the use of these methods to study the structure and evolution of celestial bodies, such as galaxies, black holes, and neutron stars, and to understand the fundamental laws of physics.

Dynamical Systems Theory: Cercignani's research in this area focused on the study of complex systems, including networks, social systems, and biological systems. The conference explored the use of mathematical models and computational techniques to understand the behavior and dynamics of these systems and to develop strategies for their optimization and control.

Overall, the book provides a comprehensive overview of Carlo Cercignani's scientific contributions and highlights the diverse areas in which he made significant advancements. It serves as a valuable resource for researchers and scholars interested in mathematical and computational methods in physics, chemistry, and applied sciences.

Weight: 612g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811964619
Edition number: 1st ed. 2023