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Erschienen in:
1991 | OriginalPaper | Buchkapitel
Fluid Dynamic Limits of Discrete Velocity Kinetic Equations
verfasst von : C. Bardos, F. Golse, D. Levermore
Erschienen in: Advances in Kinetic Theory and Continuum Mechanics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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The connection between discrete velocity kinetic theory and fluid dynamics is systematically described. Conditions that formally lead to generalized compressible Euler equations or to generalized incompressible Navier-Stokes equations are given. These conditions are related to an H-theorem. It is proven that a large class of polynomial collision operators in semidetailed balance satisfies this H-theorem. Finally, results are given concerning the global validity in time of the convergence for the case where the formal scaling of the kinetic equation leads to the linearized incompressible Navier-Stokes limit.