Visco-resistive magnetic reconnection due to steady inertialess flows. Part 1. Exact analytical solutions

Journal of Fluid Mechanics

Volumn 348, Issue , 1997, Pages 327-347

  Titov, Vyacheslav S ^a   Priest, E R ^b  

^a PROGRAM SYSTEMS INSTITUTE   (Russian Federation)

^b UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CURRENT DENSITY; VISCOSITY OF LIQUIDS; VISCOUS FLOW;

VISCORESISTIVE MAGNETIC RECONNECTION;

MAGNETOHYDRODYNAMICS;

EID: 0031246136     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097007015     Document Type: Article

References (12)

1. BERS, L., JOHN, F. & SCHECHTER, M. 1964 Partial Differential Equations. Interscience publishers.
2. CRAIG, I. J. D. & RICKARD, G. J. 1994 Linear models of steady-state, incompressible magnetic reconnection. Astron. Astrophys. 287, 261-267.
3. ELSASSER, W. M. 1946 Induction effects in terrestrial magnetism. Phys. Rev. 69, 106-116.
4. MOFFATT, H. K. 1978 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.
5. NEUKIRCH, T. & PRIEST, E. R. 1996 Some remarks on 2-dimensional incompressible stationary reconnection. Phys. Plasmas 3, 3188-3190.
6. OLDHAM, K. B. & SPANIER, J. 1974 The Fractional Calculus. Academic.
7. PRIEST, E. R. 1996 Coronal heating by magnetic reconnection. Astrophys. Space Sci. 238, 49-73.
8. PRIEST, E. R. & FORBES, T. G. 1986 New models for fast steady state magnetic reconnection. J. Geophys. Res. 91, 5579-5588.
9. PRIEST, E. R., TITOV, V. S., VEKSTEIN, G. E. & RICKARD, G. J. 1994 Steady linear X-point magnetic reconnection. J. Geophys. Res. 99, 21467-21479.
10. SYROVATSKII, S. I. 1979 General analysis of the problem of plasma flow in the neighbourhood of a null line of a magnetic field. In Flare Processes in Plasma (ed. N. G. Basov). Proc. of the P. N. Lebedev Physical Institute, vol. 110, pp. 5-32. Consultants Bureau.
11. TITOV, V. S. & PRIEST, E. R. 1997a Linear theory of steady X-point magnetic reconnection. Adv. Space Res. 19, 1777-1780.
12. TITOV, V. S. & PRIEST, E. R. 1997b Visco-resistive magnetic reconnection due to steady inertialess flows. Part 2. Boundary-value solutions. (Submitted).