Compressible subsonic potential flow past a 2D given sharp angular unbounded domain

Authors
Citation
Yang, Hui, Compressible subsonic potential flow past a 2D given sharp angular unbounded domain, Acta mathematica Sinica. English series (Print) , 29(2), 2013, pp. 393-404
ISSN journal
14398516
Volume
29
Issue
2
Year of publication
2013
Pages
393 - 404
Database
ACNP
SICI code
Abstract
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 nontrivial subsonic flow around the infinite long ramp does not exist under some certain assumptions on the potential flow with a low Mach number.