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Compressible Subsonic Potential Flow Past a 2D Given Sharp Angular Unbounded Domain

Compressible Subsonic Potential Flow Past a 2D Given Sharp Angular Unbounded Domain
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摘要 In this paper, we focus on the two-dimensional subsonic flow problem around an infinite long ramp. The flow is assumed to be steady, isentropic and irrotational, namely, the movement of the flow is described by a second elliptic equation. By the use of a separation variable method, Strum- Liouville theorem and scaling technique, we show that a nontriviM subsonic flow around the infinite long ramp does not exist under some certain assumptions on the potential flow with a low Mach number. In this paper, we focus on the two-dimensional subsonic flow problem around an infinite long ramp. The flow is assumed to be steady, isentropic and irrotational, namely, the movement of the flow is described by a second elliptic equation. By the use of a separation variable method, Strum- Liouville theorem and scaling technique, we show that a nontriviM subsonic flow around the infinite long ramp does not exist under some certain assumptions on the potential flow with a low Mach number.
作者 Hui YANG
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第2期393-404,共12页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China(Grant No.11001122) China Postdoctoral Science Foundation funded project(Grant No.200904501112)
关键词 RAMP subsonic flow potential equation weighted Holder space Ramp, subsonic flow, potential equation, weighted Holder space
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