3-D axisymmetric subsonic flows with nonzero swirl for the compressible Euler-Poisson system

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We address the structural stability of 3-D axisymmetric subsonic flows with nonzero swirl for the steady compressible Euler Poisson system in a cylinder supplemented with non-small boundary data. A special Helmholtz decomposition of the velocity field is introduced for 3-D axisymmetric flow with a nonzero swirl (= angular momentum density) component. With the newly introduced decomposition, a quasilinear elliptic system of second order is derived from the elliptic modes in Euler Poisson system for subsonic flows. Due to the nonzero swirl, the main difficulties lie in the solvability of a singular elliptic equation which concerns the angular component of the voracity in its cylindrical representation, and in analysis of streamlines near the axis r = 0. (C) 2017 Elsevier Masson SAS. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2018-01
Language
English
Article Type
Article
Citation

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, v.35, no.1, pp.161 - 186

ISSN
0294-1449
DOI
10.1016/j.anihpc.2017.03.004
URI
http://hdl.handle.net/10203/280615
Appears in Collection
MA-Journal Papers(저널논문)
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