Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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: 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
Email: slemrod@math.wisc.edu

DOI: https://doi.org/10.1090/S0033-569X-2012-01305-1
Received by editor(s): December 13, 2011
Published electronically: May 2, 2012
Dedicated: Dedicated to Constantine M. Dafermos on the Occasion of his 70$^{th}$ Birthday
Article copyright: © Copyright 2012 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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