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The structure of MFD shock waves for rectilinear motion in some model of plasma

Technical Report:

Abstract

The mathematical question of the existence of structure for ``fast`` ``slow`` and ``intermediate`` MFD shock waves in the case of rectilinear motion in some model of plasma has been described and a proof of existence for some cases of neglecting viscosity and heat conduction for fast and slow shocks has been given. This question is stated in terms of a six-dimensional system of ordinary differential equations, which depends on five viscosity parameters. In this article we shall show that this system is gradient-like. Then by using the Conley theory, we prove that the fast and the slow shocks always possess structure. Moreover, the intermediate shocks do not admit structure. Some limiting cases for singular viscosities are investigated. In particular, we show how the general results in the classical one fluid MHD theory are obtained when ``the plasma viscosities`` {beta} and {chi} tend to zero. (author). 24 refs, 4 figs.
Authors:
Publication Date:
Aug 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/226
Reference Number:
SCA: 700340; PA: AIX-23:018257; SN: 92000661895
Resource Relation:
Other Information: PBD: Aug 1991
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA; SHOCK WAVES; DIFFERENTIAL EQUATIONS; MAGNETOHYDRODYNAMICS; ORBITS; VISCOSITY; 700340; PLASMA WAVES, OSCILLATIONS, AND INSTABILITIES
OSTI ID:
10118532
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92617386; TRN: XA9230479018257
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
34 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Hesaaraki, M. The structure of MFD shock waves for rectilinear motion in some model of plasma. IAEA: N. p., 1991. Web.
Hesaaraki, M. The structure of MFD shock waves for rectilinear motion in some model of plasma. IAEA.
Hesaaraki, M. 1991. "The structure of MFD shock waves for rectilinear motion in some model of plasma." IAEA.
@misc{etde_10118532,
title = {The structure of MFD shock waves for rectilinear motion in some model of plasma}
author = {Hesaaraki, M}
abstractNote = {The mathematical question of the existence of structure for ``fast`` ``slow`` and ``intermediate`` MFD shock waves in the case of rectilinear motion in some model of plasma has been described and a proof of existence for some cases of neglecting viscosity and heat conduction for fast and slow shocks has been given. This question is stated in terms of a six-dimensional system of ordinary differential equations, which depends on five viscosity parameters. In this article we shall show that this system is gradient-like. Then by using the Conley theory, we prove that the fast and the slow shocks always possess structure. Moreover, the intermediate shocks do not admit structure. Some limiting cases for singular viscosities are investigated. In particular, we show how the general results in the classical one fluid MHD theory are obtained when ``the plasma viscosities`` {beta} and {chi} tend to zero. (author). 24 refs, 4 figs.}
place = {IAEA}
year = {1991}
month = {Aug}
}