GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS

CORC > 厦门大学 > 数学科学－已发表论文

	GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS
	Chen, Gui-Qiang G. ; Deng, Xuemei ; Xiang, Wei ; Deng XM(邓雪梅)
刊名	http://dx.doi.org/10.1137/11085325X
	2012
关键词	FREE-BOUNDARY PROBLEMS TRANSONIC SHOCKS EXISTENCE
英文摘要	National Science Foundation [DMS-0935967, DMS-0807551]; UK EPSRC Science and Innovation Award [EP/E035027/1]; NSFC [10728101]; Royal Society-Wolfson Research Merit Award (UK); China Scholarship Council [2008631071, 2009610055]; EPSRC Science and Innovation Award [EP/E035027/1]; We are concerned with global steady subsonic flows through general infinitely long nozzles for the full Euler equations. The problem is formulated as a boundary value problem in the unbounded domain for a nonlinear elliptic equation of second order in terms of the stream function. It is established that, when the oscillation of the entropy and Bernoulli functions at the upstream is sufficiently small in C-1,C-1 and the mass flux is in a suitable regime, there exists a unique global subsonic solution in a suitable class of general nozzles. The assumptions are required to prevent the occurrence of supersonic bubbles inside the nozzles. The asymptotic behavior of subsonic flows at the downstream and upstream, as well as the critical mass flux, has been clarified.
语种	英语
出版者	SIAM J MATH ANAL
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/90954]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen, Gui-Qiang G.,Deng, Xuemei,Xiang, Wei,et al. GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS[J]. http://dx.doi.org/10.1137/11085325X,2012.
APA	Chen, Gui-Qiang G.,Deng, Xuemei,Xiang, Wei,&邓雪梅.(2012).GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS.http://dx.doi.org/10.1137/11085325X.
MLA	Chen, Gui-Qiang G.,et al."GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS".http://dx.doi.org/10.1137/11085325X (2012).