Analytical Solutions for Cusp Resonance in Dissipative MHD

作者: RÓBERT ERDÉLYI

DOI: 10.1023/A:1004967026634

关键词: Total pressureMagnetic fluxPerturbation (astronomy)Eulerian pathPhysicsDissipative systemMagnetohydrodynamicsClassical mechanicsJumpConservation law

摘要: The present paper considers resonant slow waves in 1D non-uniform magnetic flux tubes dissipative MHD. Analytical solutions are obtained for the Lagrangian displacement and Eulerian perturbation of total pressure both static stationary equilibrium states. From these analytical we obtain fundamental conservation law jump conditions validity ideal by Sakurai, Goossens, Hollweg (1991) equilibria Hollweg, Sakurai (1992) is justified

参考文章(9)
R Erdelyi, Marcel Goossens, Effects of flow on resonant absorption of MHD waves in viscous MHD. Astronomy and Astrophysics. ,vol. 313, pp. 664- 673 ,(1996)
V. M. Cadez, J. L. Ballester, RESONANT ABSORPTION OF MHD SURFACE WAVES IN AN ARCADE WITH A CONTINUOUS BOUNDARY Astronomy and Astrophysics. ,vol. 305, pp. 977- 983 ,(1996)
Joseph V. Hollweg, Resonance Absorption of Magnetohydrodynamic Surface Waves: Viscous Effects The Astrophysical Journal. ,vol. 320, pp. 875- ,(1987) , 10.1086/165604
Marcel Goossens, Michail S. Ruderman, Joseph V. Hollweg, Dissipative MHD solutions for resonant Alfven waves in 1-dimensional magnetic flux tubes Solar Physics. ,vol. 157, pp. 75- 102 ,(1995) , 10.1007/BF00680610
Marcel Goossens, Joseph V. Hollweg, Takashi Sakurai, Resonant behaviour of MHD waves on magnetic flux tubes. III : effect of equilibrium flow Solar Physics. ,vol. 138, pp. 233- 255 ,(1992) , 10.1007/BF00151914
Joseph V. Hollweg, G. Yang, Resonance absorption of compressible magnetohydrodynamic waves at thin “surfaces” Journal of Geophysical Research. ,vol. 93, pp. 5423- 5436 ,(1988) , 10.1029/JA093IA06P05423
Joseph V. Hollweg, G. Yang, V. M. Cadez, B. Gakovic, Surface waves in an incompressible fluid - Resonant instability due to velocity shear The Astrophysical Journal. ,vol. 349, pp. 335- 344 ,(1990) , 10.1086/168317
Róbert Erdélyi, Marcel Goossens, Michael S Ruderman, Analytic solutions for resonant Alfvén waves in 1D magnetic flux tubes in dissipative stationary MHD Solar Physics. ,vol. 161, pp. 123- 138 ,(1995) , 10.1007/BF00732088
Takashi Sakurai, Marcel Goossens, Joseph V. Hollweg, Resonant behaviour of MHD waves on magnetic flux tubes. II, Absorption of sound waves by sunspots Solar Physics. ,vol. 133, pp. 247- 262 ,(1991) , 10.1007/BF00149889