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Structural conditions for full MHD equations
Author(s):
Bongsuk
Kwon
Journal:
Quart. Appl. Math.
67
(2009),
593-600.
MSC (2000):
Primary 35B35
Posted:
May 14, 2009
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Abstract:
In this paper, we investigate the characteristic structure of the full equations of magnetohydrodynamics (MHD) and show that it satisfies the hypotheses of a general variable-multiplicity stability framework introduced by Métivier and Zumbrun, thereby extending to the general case various results obtained by Métivier and Zumbrun for the isentropic equations of MHD.
References:
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- A.M. Blokhin, Strong Discontinuities in Magnetohydrodynamics. Translated by A. V. Zakharov. Nova Science Publishers, Inc., Commack, NY, 1994. x+150 pp. ISBN: 1-56072-144-8. MR 1406089 (97c:76069)
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- A. Blokhin and Y. Trakhinin, Stability of strong discontinuities in fluids and MHD. In Handbook of Mathematical Fluid Dynamics, Vol. I, 545-652, North-Holland, Amsterdam, 2002. MR 1942469 (2004i:76117)
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- A.M. Blokhin and Y. Trakhinin, Stability of fast parallel MHD shock waves in polytropic gas. Eur. J. Mech. B Fluids 18 (1999) 197-211. MR 1681896 (99m:76117)
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- J.J. Erpenbeck, Stability of step shocks, Phys. Fluids 5 (10) (1962) 1181-1187. MR 0155515 (27:5449)
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- A. Majda, The stability of multi-dimensional shock fronts. Mem. Amer. Math. Soc. 41, no. 275 (1983) iv+95 pp. MR 683422 (84e:35100)
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Additional Information:
Bongsuk
Kwon
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Address at time of publication:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email:
bkwon@indiana.edu
PII:
S0033-569X-09-01139-6
Received by editor(s):
July 3, 2008
Posted:
May 14, 2009
Additional Notes:
The author thanks Kevin Zumbrun for suggesting the problem. This work was partially supported under NSF grant DMS-0300487
Copyright of article:
Copyright
2009,
Brown University
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