Some comments on the stability theory of mhd shock waves

CORC > 力学研究所 > 中国科学院力学研究所 > 力学所知识产出(1956-2008)

	Some comments on the stability theory of mhd shock waves
	Xu F(徐复)
刊名	Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences
	1985
卷号	28 期号:3 页码:273-285
ISSN号	0253-5831
中文摘要	The stability (evolutionarity) problem for a kind of MHD shock waves is discussed in this paper. That is to solve the interaction problem of MHD shock waves with (2-dimensional) oblique incident disturbances. In other words, the result of gasdynamic shocks is generalized to the case of MHD shocks. The previous conclusion of stability theory of MHD shock waves obtained from the solution of interaction problem of MHD shock wave with (one-dimensional) normal shock wave is that only fast and slow shocks are stable, and intermediate shocks are unstable. However, the results of this paper show that when the small disturbances are the Alfven waves a new stability condition which is related to the parameters in front of and behind the shock wave is derived. When the disturbances are entropy wave and fast and slow magneto acoustic waves the stability condition is related to the frequency of small disturbances. As the limiting ease, i. e. when a normal incident (reflection, refraction) is consid...更多ered, the fast and slow shocks are unstable. The results also show that the conclusion drawn by Kontorovich is invalid for the stability theory of shock waves.
类目[WOS]	Multidisciplinary Sciences
研究领域[WOS]	Science & Technology - Other Topics
收录类别	SCI
语种	英语
WOS记录号	WOS:A1985AFM8400006
公开日期	2009-08-03 ; 2010-08-20
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/39828]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Xu F. Some comments on the stability theory of mhd shock waves[J]. Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences,1985,28(3):273-285.
APA	徐复.(1985).Some comments on the stability theory of mhd shock waves.Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences,28(3),273-285.
MLA	徐复."Some comments on the stability theory of mhd shock waves".Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences 28.3(1985):273-285.