Global Smooth Sonic-Supersonic Flows in a Class of Critical Nozzles

DOI10.1137/20M1373906zbMath1496.35303OpenAlexW4220888626MaRDI QIDQ5068955

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Publication date: 7 April 2022

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

Full work available at URL: https://doi.org/10.1137/20m1373906

zbMATH Keywords

degeneracysonic-supersonic flowquasilinear nonstrictly hyperbolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Supersonic flows (76J20) Degenerate hyperbolic equations (35L80) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Supersonic Euler-Poisson flows in divergent nozzles ⋮ Structural Stability of Radial Interior Subsonic Steady-States to n-D Euler-Poisson System of Semiconductor Models with Sonic Boundary

Cites Work

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• Smooth transonic flows of Meyer type in de laval nozzles
• Regular subsonic-sonic flows in general nozzles
• Sonic-supersonic solutions for the two-dimensional pseudo-steady full Euler equations
• Sonic-supersonic solutions for the two-dimensional steady full Euler equations
• Global Smooth Supersonic Flows in Infinite Expanding Nozzles
• Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (II) Supersonic Doping Profile
• Sonic-supersonic solutions for the steady Euler equations
• The Regularity of Semihyperbolic Patches Near Sonic Lines for The 2-D Euler System in Gas Dynamics
• On Sonic Curves of Smooth Subsonic-Sonic and Transonic Flows

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