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Abstract

Most current theoretical statements on MagnetoFluidoDynamic (MFD) stability wait for important refinements (or, in some cases, for a substantial re-thinking) in order to be accepted as genuine mathematical theorems. First focussing ourselves on the conventional linear stability of ideal MF Static (MFS) equilibria, we examine some questions on the way of putting the classical (or strong) treatment on a firm basis. In particular, we prove a uniqueness theorem for the evolution of the small perturbations about a MFS equilibrium, which is then extended to the exact non-dissipative MFD system. Partially inspired by the methods employed in the relevant demonstrations, we also take into consideration a number of intriguing possibilities towards the establishment of new, generally sufficient criteria ensuring the stability (or the so-called dynamical stability, both linear and non-linear) of a magnetofluid. With the exception of a few special cases (already known), all of them are proved substantially unfruitful.

Additional information

Authors: LO SURDO C CENTRO RICERCHE ENERGIA FRASCATI (ITALY), CENTRO RICERCHE ENERGIA FRASCATI (ITALY)
Bibliographic Reference: WRITE TO ENEA - SERVIZIO STUDI E DOCUMENTAZIONE CENTRO RICERCHE ENERGIA FRASCATI, C.P. 65, 00044 FRASCATI, ROMA (ITALY) MENTIONING REPORT 83.36/P, 1983
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