Proceedings of the International School of Physics "Enrico Fermi.", Volume 25N. Zanichelli, 1953 - Nuclear physics |
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Page 64
... stability . Thus d ) There exists an energy principle for stability i.e. an expression SW ( E , E ) quadratic in such that stability can be reduced to examining the sign of SW ( E , E ) . SW will turn out to be the variation in ...
... stability . Thus d ) There exists an energy principle for stability i.e. an expression SW ( E , E ) quadratic in such that stability can be reduced to examining the sign of SW ( E , E ) . SW will turn out to be the variation in ...
Page 65
... stable . This argument is essentially due to LIAPUNOFF and is used very skillfully by KRUSKAL and OBERMAN in their paper [ 2 ] . It is useful for obtaining weaker energy prin- ciples which are only sufficient for stability . We may ...
... stable . This argument is essentially due to LIAPUNOFF and is used very skillfully by KRUSKAL and OBERMAN in their paper [ 2 ] . It is useful for obtaining weaker energy prin- ciples which are only sufficient for stability . We may ...
Page 85
... Stability theory . The stability theory follows closely the fluid theory of stability . The details are given in the author's paper « On the Necessity of the Energy Principle of Kruskal and Oberman » , Physics of Fluids , 2 , 192 ( 1962 ) ...
... Stability theory . The stability theory follows closely the fluid theory of stability . The details are given in the author's paper « On the Necessity of the Energy Principle of Kruskal and Oberman » , Physics of Fluids , 2 , 192 ( 1962 ) ...
Contents
W B THOMPSON Kinetic theory of plasma | 97 |
Topics in microinstabilities | 137 |
carrier mass | 159 |
Copyright | |
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adiabatic invariant amplitude approximation Boltzmann equation boundary conditions boundary layer calculated cathode coefficient collision components consider constant contraction corresponds courbe critère current density d³k d³v Debye length derived differential equations discharge dispersion relation distribution function eigenvalue electric field electrons and ions electrostatic energy principle equations of motion equilibrium exp[i(k finite fluid theory frequency given Hence instability integral interaction ionized k₁ KRUSKAL l'axe magnétique limit Liouville function lowest order magnetic field Maxwell's equations mode nonlinear obtain Ohm's law P₁ parameter particle périodique perturbation Phys plasma oscillations Plasma Physics Poisson's equation potential problem quantities R₁ region Rendiconti S.I.F. satisfied saturation current solution solving stabilité stability temperature thermal tion v₁ values variables vector velocity x₁ zero zero-order Απ