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Navier-Stokes approximation and problems of the Chapman-Enskog projection for kinetic equations.
- Source :
-
Journal of Mathematical Sciences . May2006, Vol. 135 Issue 1, p2721-2748. 28p. 3 Graphs. - Publication Year :
- 2006
-
Abstract
- The purpose of this paper is to investigate problems of the Navier-Stokes approximation to kinetic equations in terms of the so-called Chapman-Enskog projection. One considers properties of the Chapman-Enskog projection for the Cauchy problem for moment approximations of the kinetic equation and primarily the Chapman-Enskog projection for the Boltzmann-Peierls kinetic equation. The existence of the Chapman-Enskog projection for the Cauchy problem is proved for the phase space of conservative variables (phenomena of nonlinear diffusion) and for the phase space of physical variables (the second sound projection). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 135
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 20360292
- Full Text :
- https://doi.org/10.1007/s10958-006-0140-8