Advanced Plasma Theory, Volume 25M. N. Rosenbluth |
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Page 234
M. N. Rosenbluth. Boundary Layer Problems in Plasma Physics . B. BERTOTTI Laboratorio Gas Ionizzati ( EURATOM - C.N.E.N . ) - Frascati 1. Boundary layer problems . - The purpose of these lectures is to point out a general method to solve ...
M. N. Rosenbluth. Boundary Layer Problems in Plasma Physics . B. BERTOTTI Laboratorio Gas Ionizzati ( EURATOM - C.N.E.N . ) - Frascati 1. Boundary layer problems . - The purpose of these lectures is to point out a general method to solve ...
Page 235
... boundary layers , corresponding to the two boundary conditions ( e.g. y ( -1 ) = y ( 1 ) = 1 ) . In our example one of them is absent , having chosen the left boundary condition to fit the ... BOUNDARY LAYER PROBLEMS IN PLASMA PHYSICS 235.
... boundary layers , corresponding to the two boundary conditions ( e.g. y ( -1 ) = y ( 1 ) = 1 ) . In our example one of them is absent , having chosen the left boundary condition to fit the ... BOUNDARY LAYER PROBLEMS IN PLASMA PHYSICS 235.
Page 239
... boundary layer could be provided by an expansion of w ( x , e ) in e ; for more details and a far reach- ing generalization of this method , see [ 3 ] . In the case of eqs . ( 5 ) and ( 2 ) the boundary layer eq . ( 11 ) reads d2w dw + ...
... boundary layer could be provided by an expansion of w ( x , e ) in e ; for more details and a far reach- ing generalization of this method , see [ 3 ] . In the case of eqs . ( 5 ) and ( 2 ) the boundary layer eq . ( 11 ) reads d2w dw + ...
Common terms and phrases
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 electrostatic energy principle equations of motion equilibrium exp[i(k finite fluid theory frequency given Hence instability integral interaction ionized k₁ k₂ KRUSKAL KULSRUD l'axe magnétique limit lowest order m₁ magnetic field Maxwell's equations mode nonlinear obtain Ohm's law P₁ parameter particle perturbation Phys plasma oscillations plasma physics Poisson's equation potential problem quantities R₁ radial region Rendiconti S.I.F. satisfied saturation current solution solving stabilité stability temperature thermal tion v₁ values variables vector velocity voisinage waves in plasmas zero zero-order Απ