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Kinetic theory is a rapidly developing field of research, not only because of its intrinsic theoretical interests, but also because of its applications to many problems in science and technology.
The main interest of kinetic models is the possibility of studying collective phenomena for systems composed of a large number of elementary particles (for example, gas molecules or dust particles) by going beyond the microscopic approach. The description of these systems is based on one or more distribution functions (or number densities) in phase space (or in extended phase spaces).
The volume covers most of the topics addressed and discussed during the Workshop INdAM "Recent advances in kinetic equations and applications", which took place in Rome (Italy), from November 11th to November 15th, 2019. The volume contains results on kinetic equations for reactive and nonreactive mixtures and on collisional and noncollisional Vlasov equations for plasmas. Some contributions are devoted to the study of phase transition phenomena, kinetic problems with nontrivial boundary conditions and hierarchies of models. The book, addressed to researchers interested in the mathematical and numerical study of kinetic equations, provides an overview of recent advances in the field and future research directions.
Sharpening of Decay Rates in Fourier Based Hypocoercivity Methods
Quantum Drift-Diffusion Equations for a Two-Dimensional Electron Gas with Spin-Orbit Interaction
A Kinetic BGK Relaxation Model for a Reacting Mixture of Polyatomic Gases
On Some Recent Progress in the Vlasov–Poisson–Boltzmann System with Diffuse Reflection Boundary
The Vlasov Equation with Infinite Mass
Mathematical and Numerical Study of a Dusty Knudsen Gas Mixture: Extension to Non-spherical Dust Particles
Body-Attitude Alignment: First Order Phase Transition, Link with Rodlike Polymers Through Quaternions, and Stability
The Half-Space Problem for the Boltzmann Equation with Phase Transition at the Boundary
Recent Developments on Quasineutral Limits for Vlasov-Type Equations
A Note on Acoustic Limit for the Boltzmann Equation
Thermal Boundaries in Kinetic and Hydrodynamic Limits.
Control of Collective Dynamics with Time-Varying Weights
Kinetic Modelling of Autoimmune Diseases
A Generalized Slip-Flow Theory for a Slightly Rarefied Gas Flow Induced by Discontinuous Wall Temperature
A Revisit to the Cercignani–Lampis Model: Langevin Picture On the Accuracy of Gyrokinetic Equations in Fusion Applications