Continuous/smooth transonic solutions to the quasi-one-dimensional steady relativistic Euler equations

Transonic flows (76H05) Special relativity (83A05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Weak solutions to PDEs (35D30) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Supersonic flows (76J20) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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Global stability of steady transonic Euler shocks in quasi-one-dimensional nozzles
Asymptotic stability of steady state solutions for the relativistic Euler-Poisson equations
A generalized Riemann problem for quasi-one-dimensional gas flows
Nonlinear stability and instability of transonic flows through a nozzle
Transonic gas flow in a duct of varying area
Global solutions to the relativistic Euler equation with spherical symmetry
Smooth transonic flows of Meyer type in de laval nozzles
On spherically symmetric solutions of the relativistic Euler equation
On the steady state relativistic Euler-Poisson equations
Steady compressible radially symmetric flows with nonzero angular velocity in an annulus
Two-dimensional pseudosteady flows around a sharp corner
The special solutions of 2-D steady isentropic irrotational relativistic Euler system
Sonic-supersonic solutions for the two dimensional steady relativistic Euler equations
Regular subsonic-sonic flows in general nozzles
Sonic-supersonic solutions for the two-dimensional steady full Euler equations
On a degenerate free boundary problem and continuous subsonic-sonic flows in a convergent nozzle
Semi-hyperbolic patch characterized by 2D steady relativistic Euler equations
On the non-existence of continuous transonic flows past profiles I
Multiple Steady States for 1-D Transonic Flow
On some smooth symmetric transonic flows with nonzero angular velocity and vorticity
Self-similar solutions of the radially symmetric relativistic Euler equations
Global solution to a three-dimensional spherical piston problem for the relativistic Euler equations
On a Supersonic-Sonic Patch in the Three-Dimensional Steady Axisymmetric Transonic Flows
Global Smooth Sonic-Supersonic Flows in a Class of Critical Nozzles
Sonic-supersonic solutions for the steady Euler equations
Global subsonic and subsonic-sonic flows through infinitely long nozzles
On Sonic Curves of Smooth Subsonic-Sonic and Transonic Flows

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