Modeling and Computational Methods for Kinetic Equations

Pierre Degond, Lorenzo Pareschi, Giovanni Russo - Collection Modeling and Simulation Science, Engineering and Technology

356 pages, parution le 01/06/2004

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Résumé

In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.

Written for:
Graduate students, applied mathematicians, numerical analysts, math. physicists/physicists; engineers

Sommaire

Part I: Rarefied Gases
- Macroscopic Limits of the Boltzmann Equation: A Review
- Moment Equations for Charged Particles: Global Existence Results
- Monte-Carlo Methods for the Boltzmann Equation
- Accurate Numerical Methods for the Boltzmann Equation
- Finite-Difference Methods for the Boltzmann Equation for Binary Gas Mixtures
Part II: Applications
- Plasma Kinetic Models: The Fokker-Planck-Landau Equation
- On Multipole Approximations of the Fokker-Planck-Landau Operator
- Traffic Flow: Models and Numerics
- Modelling and Numerical Methods for Granular Gases
- Quantum Kinetic Theory: Modelling and Numerics for Bose-Einstein Condensation
- On Coalescence Equations and Related Models

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Pierre Degond, Lorenzo Pareschi, Giovanni Russo
Collection	Modeling and Simulation Science, Engineering and Technology
Parution	01/06/2004
Nb. de pages	356
Format	16 x 24
Couverture	Relié
Poids	640g
Intérieur	Noir et Blanc
EAN13	9780817632540
ISBN13	978-0-8176-3254-0