Three-Dimensional Full Euler Flows with Nontrivial Swirl in Axisymmetric Nozzles

DOI10.1137/16M1107991zbMath1393.35153OpenAlexW2803447108WikidataQ129780463 ScholiaQ129780463MaRDI QIDQ4643603

Tian-Yi Wang, Wei Xiang, Xue-Mei Deng

Publication date: 25 May 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1107991

zbMATH Keywords

Euler equationsstream functionaxisymmetric piecewise smooth nozzlesnontrivial swirl

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General aerodynamics and subsonic flows (76G25) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Axially symmetric solutions to PDEs (35B07) Mixed-type systems of PDEs (35M30)

Related Items (14)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Global smooth axisymmetric Euler flows with rotating effect in an infinitely long axisymmetric nozzle ⋮ On a Supersonic-Sonic Patch in the Three-Dimensional Steady Axisymmetric Transonic Flows ⋮ Low Mach number limit of steady flows through infinite multidimensional largely-open nozzles ⋮ The convexity for compressible subsonic cavity flows ⋮ Convexity of the free boundaries for axially symmetric Réthy flows ⋮ Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle ⋮ Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles ⋮ Compressible subsonic jet flows issuing from a nozzle of arbitrary cross-section ⋮ Low Mach number limit of multidimensional steady flows on the airfoil problem ⋮ On a degenerate hyperbolic problem for the 3-D steady full Euler equations with axial-symmetry ⋮ On a degenerate mixed-type boundary value problem to the 2-D steady Euler equation ⋮ Two-phase fluids in collision of incompressible inviscid fluids effluxing from two nozzles ⋮ Sonic-supersonic Solutions to a Mixed-type Boundary Value Problem for the Two-Dimensional Full Euler Equations

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