Published December 2003
| Version v1
Journal article
Cross-helicity and magnetized Trkal flows
Creators
- 1. University of Ioannina, Association Euratom-Hellenic Republic, Department of Physics, GR 451 10 Ioannina (Greece)
- 2. Max-Planck-Institut fuer Plasmaphysik, Euratom Association, 85748 Garching (Germany)
Description
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
Additional details
Identifiers
- DOI
- 10.1063/1.1623272;
Publishing Information
- Journal Title
- Physics of Plasmas
- Journal Volume
- 10
- Journal Issue
- 12
- Journal Page Range
- p. 4897-4898
- ISSN
- 1070-664X
- CODEN
- PHPAEN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35062460
- Subject category
- S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
- Descriptors DEI
- LYAPUNOV METHOD; MAGNETOHYDRODYNAMICS; PLASMA; PLASMA INSTABILITY; REYNOLDS NUMBER
- Descriptors DEC
- CALCULATION METHODS; FLUID MECHANICS; HYDRODYNAMICS; INSTABILITY; MECHANICS
Optional Information
- Notes
- (c) 2003 American Institute of Physics.