The Stability of a Particular Mhd Equilibrium With Flow
The Stability of a Particular Mhd Equilibrium With Flow
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To quickly assess the difficulty of the text, read a short excerpt:
We observe that by (32) we have (33) Q(a, 6) = -tr 1 -tr 2 .
If in particular the two traces (which by (32) are real) have equal signs, then only case (a) of (31) holds and eigenvalues are possible regardless of the global behavior of the plasma. We will pursue this point in chapter IV and show that this is indeed the situation for many plasma profiles.
Analytic determination of the two traces generally requires that we know explicitly two indpendent solutions of (D) (e. G. In the form of an in...tegral representation).
45 Hov;ever, if one of the half planes contains only one regular singularity, the associated trace can be determined by the characteristic exponents of solutions near the singularity. For the indicial exponents \. , \ 2, the trace is e 27T1 Al + e 27T1 A 2 . If a numerical determination of the connection coefficients is sought, relation (32) offers the great benefit of avoiding the necessity to compute to infinity, especially when the solutions of (D) are oscillatory.
We now proceed with proving the asymptotic nature of the matching procedure described in this chapter, after which we will resume the investigation of the screw pinch steady equilibrium.
What to read after The Stability of a Particular Mhd Equilibrium With Flow?
You can find similar books in the "Read Also" column, or choose other free books by Eliezer Hameiri to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
We observe that by (32) we have (33) Q(a, 6) = -tr 1 -tr 2 .
If in particular the two traces (which by (32) are real) have equal signs, then only case (a) of (31) holds and eigenvalues are possible regardless of the global behavior of the plasma. We will pursue this point in chapter IV and show that this is indeed the situation for many plasma profiles.
Analytic determination of the two traces generally requires that we know explicitly two indpendent solutions of (D) (e. G. In the form of an in...tegral representation).
45 Hov;ever, if one of the half planes contains only one regular singularity, the associated trace can be determined by the characteristic exponents of solutions near the singularity. For the indicial exponents \. , \ 2, the trace is e 27T1 Al + e 27T1 A 2 . If a numerical determination of the connection coefficients is sought, relation (32) offers the great benefit of avoiding the necessity to compute to infinity, especially when the solutions of (D) are oscillatory.
We now proceed with proving the asymptotic nature of the matching procedure described in this chapter, after which we will resume the investigation of the screw pinch steady equilibrium.
What to read after The Stability of a Particular Mhd Equilibrium With Flow?
You can find similar books in the "Read Also" column, or choose other free books by Eliezer Hameiri to read onlineMoreLess
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