## Proceedings of the International School of Physics "Enrico Fermi.", Volume 25N. Zanichelli, 1953 - Nuclear physics |

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Page 54

In this course we shall consider three energy principles for the

magnetohydrodynamic equilibria. These three energy principles correspond to

three different sets of basic equations describing the plasma, each of which

applies ...

In this course we shall consider three energy principles for the

**stability**of staticmagnetohydrodynamic equilibria. These three energy principles correspond to

three different sets of basic equations describing the plasma, each of which

applies ...

Page 64

We have proved SW - 0 for all 3 is a necessary and sufficient condition for

W/3, 3) quadratic in 3 such that

8 W (3 ...

We have proved SW - 0 for all 3 is a necessary and sufficient condition for

**stability**. Thus d) There exists an energy principle for**stability**i.e. an expression 3W/3, 3) quadratic in 3 such that

**stability**can be reduced to examining the sign of8 W (3 ...

Page 85

Hence, no loss in generality is involved by restriction (75). 36.

The

given in the author's paper « On the Necessity of the Energy Principle of Kruskal

and ...

Hence, no loss in generality is involved by restriction (75). 36.

**Stability**theory. —The

**stability**theory follows closely the fluid theory of**stability**. The details aregiven in the author's paper « On the Necessity of the Energy Principle of Kruskal

and ...

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### Contents

LEZIONI | 1 |

carrier mass | 159 |

hydrodynamique au voisinage dun axe magnétique | 214 |

Copyright | |

2 other sections not shown

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### Common terms and phrases

adiabatic invariant amplitude approximation assumed Boltzmann equation boundary conditions boundary layer calculated cathode charge coefficient collision components consider const constant contraction corresponds courbe critère current density Debye length derived differential equations discharge dispersion relation distribution function dºr eigenvalue electric field electromagnetic waves electrostatic energy principle equations of motion equilibrium exp i(k exp ioctl exp ior experimental finite fluid theory frequency given Hence instability integral interaction ioctl ionized KRUSKAL l'axe magnétique lignes limit lowest order magnetic field Maxwell's equations negative ions nonlinear obtain parameter particle perturbation Phys plasma oscillations Plasma Physics Poisson's equation potential problem quantities radial region satisfied saturation current ſº solution solving stabilité stability surface temperature thermal tion values vanish variables vector velocity voisinage waves in plasmas zero zero-order