Recent Advances in Kinetic Equations and Applications -

Recent Advances in Kinetic Equations and Applications

Francesco Salvarani (Herausgeber)

Buch | Hardcover
XI, 393 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-82945-2 (ISBN)
181,89 inkl. MwSt

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.

lt;p>Francesco Salvarani is an expert in the mathematical and numerical study of collective phenomena arising both in physics and in social sciences. His scientific activities are mainly focused on kinetic equations and systems.

- 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 and Its Numerical Simulation. - On the Accuracy of Gyrokinetic Equations in Fusion Applications.

Erscheinungsdatum
Reihe/Serie Springer INdAM Series
Zusatzinfo XI, 393 p. 40 illus., 19 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 768 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie
Schlagworte Applications of Mathematics • Kinetic Theory • Mathematical Physics • Numerical simulations • Partial differential equations
ISBN-10 3-030-82945-6 / 3030829456
ISBN-13 978-3-030-82945-2 / 9783030829452
Zustand Neuware
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