Cross-helicity and magnetized Trkal flows

Tasso, H.; Throumoulopoulos, G. N.

doi:10.1063/1.1623272

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Cross-helicity and magnetized Trkal flows

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Tasso, H.
Tokamak Theory (TOK), Max Planck Institute for Plasma Physics, Max Planck Society;

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Throumoulopoulos, G. N.
Tokamak Theory (TOK), Max Planck Institute for Plasma Physics, Max Planck Society;

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Tasso, H., & Throumoulopoulos, G. N. (2003). Cross-helicity and magnetized Trkal flows. Physics of Plasmas, 10, 4897-4898. doi:10.1063/1.1623272.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0027-3DC2-2

Abstract

In a previous note [Tasso, Phys. Plasmas 2, 1789 (1995)], dissipative magnetized Trkal flows were proved to be Lyapunov stable nonlinearly under the conditions of sufficiently small Reynolds number and of an upper bound of the "force-free" current. An alternative Lyapunov functional containing the cross helicity and introduced recently for conservative magnetized Beltrami flows [Yoshida et al., J. Math. Phys. 44, 2168 (2003)] is extended here to the Trkal flows mentioned above. Stability is now proven under limitations on maximal velocity and current without introducing an upper bound on the Reynolds number.