## Advanced Plasma Theory, Volume 25 |

### From inside the book

Results 1-3 of 27

Page 57

(Of course, there are other conditions that must be

such as small gyration radius, small Debye length, etc. We do not stress these in

the fluid theory.) Substituting (8') in (5) and (7) and these in (2) we have The last

two ...

(Of course, there are other conditions that must be

**satisfied**in the fluid theorysuch as small gyration radius, small Debye length, etc. We do not stress these in

the fluid theory.) Substituting (8') in (5) and (7) and these in (2) we have The last

two ...

Page 77

(23) ^eiFoqdwdq^O. It is easily shown from (11) that the time derivative of (22) is

zero if (23) is

of (23) gives where P° = m (t)-o-»',n)(v-a- », n)/°d2p, is the zero order pressure.

(23) ^eiFoqdwdq^O. It is easily shown from (11) that the time derivative of (22) is

zero if (23) is

**satisfied**. (This is just (do-lfit)+V-J-l = 0.) Similarly the time derivativeof (23) gives where P° = m (t)-o-»',n)(v-a- », n)/°d2p, is the zero order pressure.

Page 207

We now replace QrSPr— P,8Qr on the right-hand side of (A-4.6) by the variation

of the expression (A-4.3) expressing this variation in terms of 8Pr, 8Qr. If we now

separate terms of first order in w, we find that (A-4.6) is

...

We now replace QrSPr— P,8Qr on the right-hand side of (A-4.6) by the variation

of the expression (A-4.3) expressing this variation in terms of 8Pr, 8Qr. If we now

separate terms of first order in w, we find that (A-4.6) is

**satisfied**to this order and...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

adiabatic invariant amplitude approximation assumed Boltzmann equation boundary conditions boundary layer calculated cathode charge coefficient collision column components consider const constant contraction corresponds courbe current density Debye length derived differential equations diffusion discharge dispersion relation distribution function double adiabatic theory effect eigenvalue electric field electromagnetic waves electrostatic energy principle equations of motion equilibrium expand experimental finite fluid theory frequency given Hence hydromagnetic inertia-limited instability integral interaction ionized Kruskal Kulsrud l'axe magnétique lignes limit linear theory lowest order magnetic field Maxwell's equations mode negative ions nonlinear obtain Ohm's law parameter particle perturbation Phys plasma oscillations plasma physics Poisson's equation potential pressure problem produced quantities radial region satisfied saturation current self-adjointness solution solving stability surface temperature thermal tion transverse wave values vanish variables vector velocity Vlasov equation waves in plasmas zero zero-order