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On the stability of Alfven discontinuity

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

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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.

Item Type: Article
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
Published Version: http://dx.doi.org/10.1063/1.2354572
Status: Published
Publisher: American Institute of Physics
Identification Number: 10.1063/1.2354572
URI: http://eprints.whiterose.ac.uk/id/eprint/7221

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