Weakly nonlinear magnetohydrodynamic wave interactions

Journal Article · Tue Jun 01 04:00:00 EDT 1999 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.58655· OSTI ID:679154

Webb, G M ^[1]; Brio, M; Kruse, M T ^[2]; Zank, G P ^[3]

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1. Lunar and Planetary Laboratory, University of Arizona, Tucson, Arizona 85721 (United States)
2. Department of Mathematics, University of Arizona, Tucson, Arizona 85721 (United States)
3. Bartol Research Institute, University of Delaware, Newark, Delaware 19716 (United States)

Equations describing weakly nonlinear magnetohydrodynamic (MHD) wave interactions in one Cartesian space dimension are discussed. For wave propagation in uniform media, the wave interactions of interest consist of: (a) three-wave resonant interactions in which high frequency waves, may evolve on long space and time scales if the wave phases satisfy the resonance conditions; (b) Burgers self-wave steepening for the magnetoacoustic waves, and (c) mean wave field effects, in which a particular wave interacts with the mean wave field of the other waves. For wave propagation in non-uniform media, further linear wave mixing terms appear in the equations. The equations describe four types of resonant triads: slow-fast magnetosonic wave interaction; Alfv{acute e}n-entropy wave interaction; Alfv{acute e}n-magnetosonic wave interaction; and magnetosonic-entropy wave interaction. The formalism is restricted to coherent wave interactions. {copyright} {ital 1999 American Institute of Physics.}

• Sponsoring Organization: USDOE
• OSTI ID: 679154
• Report Number(s): CONF-9810104--
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 471; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

1-NITROSO-2-NAPHTHOL
66 PHYSICS
ENTROPY
HYDROMAGNETIC WAVES
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
NONLINEAR PROBLEMS
RESONANCE
WAVE PROPAGATION