Three Dimensional Steady Subsonic Euler Flows in Bounded Nozzles

Preprint English OPEN
Chen, Chao; Xie, Chunjing;
(2013)
  • Subject: Mathematics - Analysis of PDEs
    arxiv: Physics::Fluid Dynamics

In this paper, we study the existence and uniqueness of three dimensional steady Euler flows in rectangular nozzles when prescribing normal component of momentum at both the entrance and exit. If, in addition, the normal component of the voriticity and the variation of ... View more
  • References (34)
    34 references, page 1 of 4

    [1] H. D. Alber, Existence of three-dimensional, steady, inviscid, incompressible flows with nonvanishing vorticity, Math. Ann., 292 (1992), pp. 493-528.

    [2] L. Bers, Existence and uniqueness of a subsonic flow past a given profile, Comm. Pure Appl. Math., 7 (1954), pp. 441-504.

    [3] L. Bers, Mathematical aspects of subsonic and transonic gas dynamics, Surveys in Applied Mathematics, 3, John Wiley & Sons, Inc., New York, 1958.

    [4] C. Chen and C. J. Xie, Three dimensional subsonic Euler flows in general domains, preprint, 2013.

    [5] C. Chen, L. L. Du and C. J. Xie, Subsonic Euler flows past a bump, preprint, 2012.

    [6] Gui-Qiang Chen, Jun Chen, and Mikhail Feldman, Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles, J. Math. Pures Appl., 88 (2007), pp. 191-218.

    [7] Gui-Qiang Chen, Jun Chen, and Kyungwoo Song, Transonic nozzle flows and free boundary problems for the full Euler equations, J. Differential Equations, 229(2006), pp. 92-120.

    [8] G. Q. Chen, C. Dafermos, M. Slemrod, and D. H. Wang, On two-dimensional sonic-subsonic flow, Comm. Math. Phys., 271 (2007), pp. 635-647.

    [9] Jun Chen, Subsonic Euler flows in half plane, J. Hyperbolic Differ. Equ., 6 (2009), pp. 207-228.

    [10] Shuxing Chen, Transonic shocks in 3-D compressible flow passing a duct with a general section for Euler systems, Trans. Amer. Math. Soc., 360 (2008), pp. 5265-5289.

  • Metrics
Share - Bookmark