Methods and Applications of Analysis

Volume 25 (2018)

Number 1

A relativistic version of the Euler–Korteweg equations

Pages: 1 – 12

DOI: http://dx.doi.org/10.4310/MAA.2018.v25.n1.a1

Author

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

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

Full Text (PDF format)

Received 9 November 2017

Accepted 3 May 2018