Methods and Applications of Analysis

Volume 25 (2018)

Number 1

A relativistic version of the Euler–Korteweg equations

Pages: 1 – 12



Heinrich Freistühler (Fachbereich Mathematik und Statistik,Universität Konstanz, Germany)


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.


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