| Issue |
EPL
Volume 83, Number 4, August 2008
|
|
|---|---|---|
| Article Number | 40007 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/83/40007 | |
| Published online | 19 August 2008 | |
On the hydrodynamic closure of a transport-diffusion equation
1
Dipartimento di Matematica, Università di Parma - Viale G. P. Usberti 53/A, 43100 Parma, Italy, EU
2
Dipartimento di Matematica, Università di Pavia - Via Ferrata 1, 27100 Pavia, Italy, EU
Corresponding author: giampiero.spiga@unipr.it
Received:
7
May
2008
Accepted:
5
July
2008
In this paper we discuss the passage to hydrodynamics for a transport diffusion equation. It is shown that the self-similar solution of the diffusion equation can be fruitfully used to construct the Euler equations for the model, provided the initial density possesses sufficiently many moments. The results of the paper can be of interest in dissipative kinetic theory, where the role of the homogeneous cooling state in the passage to hydrodynamics has been shown only from a formal point of view.
PACS: 05.60.-k – Transport processes / 05.20.Dd – Kinetic theory / 02.30.Jr – Partial differential equations
© EPLA, 2008
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