THE EIGENVALUES OF THE SIMPLIFIED IDEAL MHD BALLOONING EQUATION
The simplified ideal magnetohydrodynamic ballooning equation is a case of the spheroidal differential equation with imaginary argument. The boundary condition that solutions should decay at infinity yields a multi- parameter eigenvalue problem involving three parameters: lambda, mu**2 (dependent upon the pressure gradient and magnetic shear) and gamma**2 (the growth rate parameter). The basic properties of the spheroidal functions relevant to the solution of the ballooning eigenvalue problem are reviewed. Expressions for the eigenvalues lambda, and the corresponding eigenfunctions, are given in the limits of small and large positive gamma**2.
Bibliographic Reference: WRITE TO CEA MENTIONING REPORT EUR-CEA-FC-1155 EN, 1983
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Record Number: 1989122050300 / Last updated on: 1987-01-01
Available languages: en