Contents Online
Methods and Applications of Analysis
Volume 25 (2018)
Number 1
A relativistic version of the Euler–Korteweg equations
Pages: 1 – 12
DOI: https://dx.doi.org/10.4310/MAA.2018.v25.n1.a1
Author
Abstract
Starting from a variational interpretation of enthalpy, this paper formulates a relativistically covariant version of the Euler–Korteweg equations of fluid dynamics. The system has a canonical Lagrangian and converges in the non-relativistic limit to Dunn and Serrin’s formulation.
Keywords
relativistic Korteweg tensor, interstitial work, objectivity, covariance
2010 Mathematics Subject Classification
35L65, 35Q75, 76N15
Received 9 November 2017
Accepted 3 May 2018
Published 24 July 2018