Relativistic Hydrodynamics

  1. Hans Christian Öttinger

Published Online: 27 JAN 2005

DOI: 10.1002/0471727903.ch5

Beyond Equilibrium Thermodynamics

Beyond Equilibrium Thermodynamics

How to Cite

Öttinger, H. C. (2005) Relativistic Hydrodynamics, in Beyond Equilibrium Thermodynamics, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471727903.ch5

Publication History

  1. Published Online: 27 JAN 2005
  2. Published Print: 2 MAR 2005

ISBN Information

Print ISBN: 9780471666585

Online ISBN: 9780471727903



  • fluxes as structural variables;
  • extended irreversible thermodynamics;
  • relativistic imperfect fluids;
  • covariant and non-covariant formulations;
  • gravity;
  • bulk viscous cosmology


After addressing topics of great practical relevance associated with Newtonian and complex fluids, a question of fundamental importance is addressed in this chapter: Can the GENERIC framework of beyond-equilibrium thermodynamics be applied to relativistic problems? The affirmative answer is by no means obvious in view of the distinguished role of time in the fundamental time-evolution equation. A minimal theory of relativistic hydrodynamics arises naturally, immediately suggesting the developments made between 1940 and 1976, and even gravity can be included in accordance with general relativity. As an application, we formulate and study the GENERIC equations for bulk viscous cosmology.