Proceedings of the International School of Physics "Enrico Fermi.", Volume 25N. Zanichelli, 1953 - Nuclear physics |
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Page 67
... theorem « d W 0 = > stability is more natural . The theorem « SW < 0⇒ instability » relies on both completeness and self- adjointness . If SW < 0 for this need not imply instability in a general case since need not be a normal mode ...
... theorem « d W 0 = > stability is more natural . The theorem « SW < 0⇒ instability » relies on both completeness and self- adjointness . If SW < 0 for this need not imply instability in a general case since need not be a normal mode ...
Page 236
... theorem by Poincarè con- cerning ordinary differential equations containing a small parameter ε analy- tically ; whereby it is meant that , having reduced the differential equations to first order for a vector x ( 7 ) dx F ( x , t , ε ) ...
... theorem by Poincarè con- cerning ordinary differential equations containing a small parameter ε analy- tically ; whereby it is meant that , having reduced the differential equations to first order for a vector x ( 7 ) dx F ( x , t , ε ) ...
Page 237
... theorem proves that there exist solutions y = y 。( x , ε ) of ( 8 ) which fulfil Yo ( B , ε ) = l2 , but not , in general , the other boundary condition , and converge uniformly to y 。( x ) in all the interval ↳ < x < l , as ɛ → 0 ...
... theorem proves that there exist solutions y = y 。( x , ε ) of ( 8 ) which fulfil Yo ( B , ε ) = l2 , but not , in general , the other boundary condition , and converge uniformly to y 。( x ) in all the interval ↳ < x < l , as ɛ → 0 ...
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