Weakly nonlinear magnetohydrodynamic wave interactions
Abstract
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.}
- Authors:
-
- Lunar and Planetary Laboratory, University of Arizona, Tucson, Arizona 85721 (United States)
- Department of Mathematics, University of Arizona, Tucson, Arizona 85721 (United States)
- Bartol Research Institute, University of Delaware, Newark, Delaware 19716 (United States)
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 679154
- Report Number(s):
- CONF-9810104-
Journal ID: APCPCS; ISSN 0094-243X; TRN: 99:009348
- Resource Type:
- Journal Article
- Journal Name:
- AIP Conference Proceedings
- Additional Journal Information:
- Journal Volume: 471; Journal Issue: 1; Conference: 9. international conference on solar wind, Nantucket, MA (United States), 5-9 Oct 1998; Other Information: PBD: Jun 1999
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 66 PHYSICS; HYDROMAGNETIC WAVES; 1-NITROSO-2-NAPHTHOL; MAGNETOHYDRODYNAMICS; MAGNETIC FIELDS; WAVE PROPAGATION; NONLINEAR PROBLEMS; RESONANCE; ENTROPY
Citation Formats
Webb, G M, Brio, M, Kruse, M T, and Zank, G P. Weakly nonlinear magnetohydrodynamic wave interactions. United States: N. p., 1999.
Web. doi:10.1063/1.58655.
Webb, G M, Brio, M, Kruse, M T, & Zank, G P. Weakly nonlinear magnetohydrodynamic wave interactions. United States. https://doi.org/10.1063/1.58655
Webb, G M, Brio, M, Kruse, M T, and Zank, G P. 1999.
"Weakly nonlinear magnetohydrodynamic wave interactions". United States. https://doi.org/10.1063/1.58655.
@article{osti_679154,
title = {Weakly nonlinear magnetohydrodynamic wave interactions},
author = {Webb, G M and Brio, M and Kruse, M T and Zank, G P},
abstractNote = {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.}},
doi = {10.1063/1.58655},
url = {https://www.osti.gov/biblio/679154},
journal = {AIP Conference Proceedings},
number = 1,
volume = 471,
place = {United States},
year = {Tue Jun 01 00:00:00 EDT 1999},
month = {Tue Jun 01 00:00:00 EDT 1999}
}