## Abstract

Variational principles for magnetohydrodynamics (MHD) were introdu- ced by previous authors both in Lagrangian and Eulerian form. In this paper we introduce simpler Eulerian variational principles from which all the relevant equa- tions of non-barotropic stationary magnetohydrodynamics can be derived for certain field topologies. The variational principle is given in terms of three independent func- tions for stationary non-barotropic flows in which magnetic field lines lie on entropy surfaces. This is a smaller number of variables than the eight variables which appear in the standard equations of non-barotropic magnetohydrodynamics which are the magnetic field B the velocity field v, the entropy s and the density ρ. The reduction of variables constraints the possible chaotic motion available to such a system.

Original language | English |
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Pages | 859-872 |

Number of pages | 14 |

State | Published - 2017 |

Event | 10th International Conference on Chaotic Modeling and Simulation, CHAOS 2017 - Barcelona, Spain Duration: 30 May 2017 → 2 Jun 2017 |

### Conference

Conference | 10th International Conference on Chaotic Modeling and Simulation, CHAOS 2017 |
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Country/Territory | Spain |

City | Barcelona |

Period | 30/05/17 → 2/06/17 |

## Keywords

- Magnetohydrodynamics
- Reduction of Variables
- Variational Principles

## All Science Journal Classification (ASJC) codes

- Modelling and Simulation