### Abstract

The ideal three-dimensional incompressible magnetohydrodynamics equations are analyzed at magnetic null points using a generalization of a method from fluid dynamics. A closed system of ordinary differential equations governing the evolution of traces of matrices associated with the fluid velocity and magnetic field gradients are derived using a model for the pressure Hessian. It is shown rigorously that the eigenvalues of the magnetic field gradient matrix are constant in time and that, in the model, a finite time singularity occurs with characteristics similar to the magnetic field-free case.

Original language | English (US) |
---|---|

Pages (from-to) | 4281-4283 |

Number of pages | 3 |

Journal | Physics of Plasmas |

Volume | 3 |

Issue number | 11 |

State | Published - 1996 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

*Physics of Plasmas*,

*3*(11), 4281-4283.

**A lagrangian study of dynamics and singularity formation at magnetic null points in ideal three-dimensional magnetohydrodynamics.** / Klapper, I.; Rado, A.; Tabor, Michael.

Research output: Contribution to journal › Article

*Physics of Plasmas*, vol. 3, no. 11, pp. 4281-4283.

}

TY - JOUR

T1 - A lagrangian study of dynamics and singularity formation at magnetic null points in ideal three-dimensional magnetohydrodynamics

AU - Klapper, I.

AU - Rado, A.

AU - Tabor, Michael

PY - 1996

Y1 - 1996

N2 - The ideal three-dimensional incompressible magnetohydrodynamics equations are analyzed at magnetic null points using a generalization of a method from fluid dynamics. A closed system of ordinary differential equations governing the evolution of traces of matrices associated with the fluid velocity and magnetic field gradients are derived using a model for the pressure Hessian. It is shown rigorously that the eigenvalues of the magnetic field gradient matrix are constant in time and that, in the model, a finite time singularity occurs with characteristics similar to the magnetic field-free case.

AB - The ideal three-dimensional incompressible magnetohydrodynamics equations are analyzed at magnetic null points using a generalization of a method from fluid dynamics. A closed system of ordinary differential equations governing the evolution of traces of matrices associated with the fluid velocity and magnetic field gradients are derived using a model for the pressure Hessian. It is shown rigorously that the eigenvalues of the magnetic field gradient matrix are constant in time and that, in the model, a finite time singularity occurs with characteristics similar to the magnetic field-free case.

UR - http://www.scopus.com/inward/record.url?scp=0347016418&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347016418&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0347016418

VL - 3

SP - 4281

EP - 4283

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 11

ER -