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Introduction to Plasmas and Plasma Dynamics by Haibin Tang, Thomas M. York

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Fluid Waves and Shock Waves in Plasma

Waves in a Compressible Plasma Medium

Because of the possibilities of fluid and electromagnetic force interactions, there is a broader range of possible fluid waves in plasma with applied magnetic fields (Cowling, 1957; Spitzer, 1962; Jeffrey, 1966). By introducing compressibility into the equations, we take a step to allow this coupling to become evident in the analysis. As above, we take the basic set of equations and generally follow the procedures of Boyd and Sanderson (1969):
Continuity:

ρt+·(ρv)=0;

image

Momentum:

ρDvDt=p+J×B;

Maxwell:

×B=μJ,

and:

×E=Bt;

Ohm's law:

Jσ=E+v×B.

The set of equations ...

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