Chapman-Enskog $\Rightarrow$ viscosity-capillarity
Author:
Marshall Slemrod
Journal:
Quart. Appl. Math. 70 (2012), 613-624
MSC (2010):
Primary 35Q53; Secondary 35B20, 35L60, 76P05
DOI:
https://doi.org/10.1090/S0033-569X-2012-01305-1
Published electronically:
May 2, 2012
MathSciNet review:
2986137
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Abstract | References | Similar Articles | Additional Information
Abstract: This paper reviews earlier work of A. Gorban and I. Karlin for the exact summation of the Chapman-Enskog expansion for the linearized Grad’s 13-moment equations. One consequence of their exact summation, not noted in their papers, is that the exact summation yields a nonlocal version of Korteweg’s theory of capillarity, which has proved to be useful as an admissibility criterion in gas dynamics.
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Additional Information
Marshall Slemrod
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
MR Author ID:
163635
Email:
slemrod@math.wisc.edu
Received by editor(s):
December 13, 2011
Published electronically:
May 2, 2012
Dedicated:
Dedicated to Constantine M. Dafermos on the Occasion of his 70$^{\textrm {th}}$ Birthday
Article copyright:
© Copyright 2012
Brown University
The copyright for this article reverts to public domain 28 years after publication.
