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Methods of nonlinear kinetics.Gorban A. N., Karlin I. V.Contribution to the «Encyclopedia of Life Support Systems» (EOLSS Publishers, Oxford). On-line versionhttp://mat.ethz.ch/d-werk/oettinger/pi25/abstract.htmlDownloadFull text of the article [pdf, 210 Kb, in english]AbstractNonlinear kinetic equations are reviewed for a wide audience of specialists and postgraduate students in physics, mathematical physics, material science, chemical engineering and interdisciplinary research.Contents1. The Boltzmann equation2. Phenomenology of the Boltzmann equation 3. Kinetic models 4. Methods of reduced description 4.1. The Hilbert method 4.2. The Chapman-Enskog method 4.3. The Grad moment method 4.4. Special approximations 4.5. The method of invariant manifold 4.6. Quasi-equilibrium approximations 5. Discrete velocity models 6. Direct simulation 7. Lattice Gas and Lattice Boltzmann models 8. Other kinetic equations 8.1. The Enskog equation for hard spheres 8.2. The Vlasov equation 8.3. The Smoluchowski equation |
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