The spectrum of MHD flows about X points

Journal of Plasma Physics

Volumn 60, Issue 2, 1998, Pages 421-446

  Nijboer, B J ^a   Goedbloed, J P ^a   Lifschitz, A E ^b  

^a FOM INSTITUTE FOR PLASMA PHYSICS RIJNHUIZEN   (Netherlands)

^b UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; MAGNETOHYDRODYNAMICS; PERTURBATION TECHNIQUES; SPECTRUM ANALYSIS;

ALFVEN MACH NUMBER; MAGNETOHYDRODYNAMIC FLOW; X POINT PLASMA FLOW;

PLASMA FLOW;

EID: 0032132331     PISSN: 00223778     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022377898006941     Document Type: Article

References (24)

1. Agim, Y. Z. and J. A. Tataronis 1985 General two-dimensional magnetohydrodynamic equilibria with mass flow. J. Plasma Phys. 34, 337-360.
2. Bayly, B. J. 1986 Three-dimensional instability of elliptical flow. Phys. Rev. Lett. 57, 2160-2163.
3. Berge, G. 1997 A Lyapunov functional for stability of ideal magnetohydrodynamic systems in arbitrary motion. Phys. Plasmas 4, 1201-1212.
4. Bernstein, I. B., Frieman, E. A., Kruskal, M. D. and Kulsrud R. M. 1958 An energy principle for hydromagnetic stability problems. Proc. R. Soc. Lond. A 224, 17-40.
5. Copson, E. T. 1965 Asymptotic Expansions. Cambridge University Press.
6. Dewar, R. L., Grimm, R. C., Johnson, J. L., Frieman, E. A., Greene, J. M. and Rutherford, P. H. 1974 Long-wavelength kink instabilities in low-pressure, uniform axial current, cylindrical plasmas with elliptic cross sections. Phys. Fluids 17, 930-938.
7. Frieman, E. and Rotenberg, M. 1960 On the hydromagnetic stability of stationary equilibria. Rev. Mod. Phys. 32, 898-902.
8. Gajewski, R. 1972 Magnetohydrodynamic equilibrium of an elliptical plasma cylinder. Phys. Fluids 15, 70-74.
9. Goedbloed, J. P. 1975 Spectrum of ideal magnetohydrodynamics of axisymmetric toroidal systems. Phys. Fluids 18, 1258-1268.
10. Goedbloed, J. P. and Lifschitz, A. E. 1997 Stationary symmetric magnetohydrodynamic flows. Phys. Plasmas 4, 3544-3564.
11. Hameiri, E. and Hammer, J. H. 1979 Unstable continuous spectrum in magnetohydrodynamics. Phys. Fluids 22, 1700-1706.
12. Hellsten, T. A. K. and Spies, G. O. 1979 Continuous magnetohydrodynamic spectrum in axially symmetric rotating plasmas. Phys. Fluids 22, 743-746.
13. Lagnado, R. R., Phan-Thien, N. and Leal, L. G. 1984 The stability of two-dimensional flows. Phys. Fluids 27, 1094-1101.
14. Landau, L. D. and Lifschitz, E. M. 1977 Quantum Mechanics (Non-relativistic Theory). Pergamon Press, Oxford.
15. Lifschitz, A. 1989 Magnetohydrodynamics and Spectral Theory. Kluwer, Dordrecht.
16. Lifschitz, A. 1995 Exact description of the spectrum of elliptical vortices in hydrodynamics and magnetohydrodynamics. Phys. Fluids A7, 1626-1636.
17. Lifschitz, A. 1997 a A nonlinear spectral problem with periodic coefficients occurring in magnetohydrodynamic stability theory. Proceedings of the 1995 International Workshop on Operator Theory and Applications (ed. R. Mennicken and C. Tretter), pp. 97-117 Birkhauser, Boston.
18. Lifschitz, A. 1997b On the spectrum of hyperbolic flows. Phys. Fluids 9, 2864-2871.
19. Lifschitz, A. and Goedbloed, J. P. 1997 Transonic magnetohydrodynamic flows. J. Plasma Phys. 58, 61-100.
20. Nijboer, R. J., Lifsehitz, A. E. and Goedbloed, J. P. 1997 a Spectrum and stability of a rigidly rotating compressible plasma. J. Plasma Phys. 58, 101-121.
21. Nijboer, R. J., van der Holst, B., Poedts, S. and Goedbloed, J. P. 1997b Calculating magnetohydrodynamic flow spectra. Comp. Phys. Commun. 106, 39-52.
22. Sahli, A., Cambon, C. and Speziale, C. G. 1997 Linear stability analysis of plane quadratic flows in a rotating frame with applications to modelling. Phys. Fluids 9, 2300-2309.
23. Spalding, I. 1971 Cusp containment. Advances in Plasma Physics, Vol. 4 (ed. A. Simon and W. B. Thompson). Interscience Publishers, New York.
24. Spies, G. O. 1978 Magnetohydrodynamic spectrum of instabilities due to plasma rotation. Phys. Fluids 21, 580-587.