Ilin, K.I. and Trakhinin, Y.L. (2006) On the stability of Alfven discontinuity. Physics of Plasmas, 13 (110/10). pp. 1-8. ISSN 1089-7674
The stability of Alfvén discontinuities for the equations of ideal compressible magneto-hydrodynamics (MHD) is studied. The Alfvén discontinuity is a characteristic discontinuity for the hyperbolic system of MHD equations but, as in the case of shock waves, there is a mass flux through its front. The Lopatinskii condition for a planar Alfvén discontinuity is tested numerically, and the domain in the space of parameters of the discontinuity where it is unstable is determined. In fact, in this domain the Alfvén discontinuity is not only unstable, but the initial-boundary-value problem for corresponding linearized equations is ill-posed in the sense of Hadamard.
|Institution:||The University of York|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||York RAE Import|
|Date Deposited:||25 Feb 2009 12:23|
|Last Modified:||25 Feb 2009 12:23|
|Publisher:||American Institute of Physics|