We now use the energy principle to analyze the stability properties of the cylindrical θ-pinch, the Z-pinch, and the general screw pinch. Since these equilibria depend only on the radial coordinate r, are periodic in the θ- and z-coordinates, and the fields are independent of the periodic coordinates, the displacement can be written as in terms of the Fourier decomposition.
Few things are harder to put up with than the annoyance of a good example.
Mark Twain
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© 2009 Springer-Verlag Berlin Heidelberg
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Schnack, D.D. (2009). Examples of the Application of the Energy Principle to Cylindrical Equilibria. In: Lectures in Magnetohydrodynamics. Lecture Notes in Physics, vol 780. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00688-3_30
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DOI: https://doi.org/10.1007/978-3-642-00688-3_30
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