Incompressible navier-stokes and euler limits of the boltzmann equation
โ Scribed by A. de Masi; R. Esposito; J. L. Lebowitz
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 955 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0010-3640
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## Communicated by N. Bellomo Abstract--The macroscopic limit of the Enskog kinetic equation with three small parameters: the Knudsen number, the Mach number, and the scale of the diameter of the particles, is considered in ]C a. For some relations between the small parameters, the Enskog equation
We prove some asymptotic results concerning global (weak) solutions of compressible isentropic Navier-Stokes equations. More precisely, we establish the convergence towards solutions of incompressible Euler equations, as the density becomes constant, the Mach number goes to 0 and the Reynolds number