The Global Stability of 2-D Subsonic Circulatory Flows for the Steady Isothermal Gas

Dacheng Cui

Journal of Mathematics Research, 2017, vol. 9, issue 6, 148-155

Abstract: This paper is a complement of our work in (Cui $\&$ Li, 2011) where we have established the global subsonic circulatory solution for the polytropic gas. In this paper, we are concerned with the global stability of the 2-D subsonic circulatory flow around a perturbed circular body for the isothermal gas. The flow is assumed to be isothermal, isentropic, irrotational and described by a steady Euler equations, which can be reduced into a second order quasilinear elliptic equation in a exterior domain with suitable physical conditions. The unique existence and the state of the flow at infinity are obtained under nature physical assumption.

Keywords: Euler equations; isothermal gas; subsonic circulatory flow; weighted H\"{o}lder estimates. (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.ccsenet.org/journal/index.php/jmr/article/view/70934/39306 (application/pdf)
http://www.ccsenet.org/journal/index.php/jmr/article/view/70934 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:9:y:2017:i:6:p:148

Access Statistics for this article

More articles in Journal of Mathematics Research from Canadian Center of Science and Education Contact information at EDIRC.
Bibliographic data for series maintained by Canadian Center of Science and Education ().